Thermal strain-induced cold crystallization of amorphous poly(lactic acid)

The cold crystallization behaviors and structure evolutions of amorphous PLA stretched within a high-temperature range (100 – 150 ° C) were investigated via in situ synchrotron WAXS and SAXS measurements. The PLA stretched at 120 ° C exhibits excellent mechanical properties with the highest modulus, stretching strength and moderate elongation, which is attributed to the coordination effect of thermally-induced initial crystallinity and moderate chain segment mobility. The WAXS results showed that the diffraction peaks of (200/110) and (203) planes shift to higher 2 θ values, which indicates the formation of more ordered α ′ and α forms during PLA stretching within 100 – 150 ° C. More α forms can be formed from the stretched α ′ form and/or from the amorphous phase at 100 ° C. The phase diagram of α and α ′ forms in stretched PLA with stretching temperature was proposed according to the obtained data of lattice spacing. The crystallinity of stretched PLA increases faster than that which underwent quiescent cold crystallization at the same temperature. The SAXS results indicated that the long period and lamellar thickness along and vertical to the stretching direction of PLA stretched within 100 – 150 ° C exhibit distinct variations, which is attributed to the difference of strain-induced crystallization and lamellar orientation.


Introduction
Biosourced polymers have attracted increasing attention in recent years due to their potential to replace petroleum-based commodity polymers. 1 Among such polymers, polyĲlactic acid) (PLA) is one of the most promising bio-based polymers for use as bio-implants, surgical structural materials, drug delivery systems and biodegradable packaging due to its high strength, high modulus, good clarity as well as good biode-gradability and biocompatibility. [2][3][4][5][6] The properties of PLA products, such as the thermal resistance, degradation rate as well as optical, mechanical and barrier properties, are related to the crystalline phase of PLA, 6,7 therefore it is important to control the crystalline structures and crystallization kinetics of PLA during processing.
The α and α′ forms of PLA have been identified according to wide-angle X-ray diffraction (WAXD) and infrared spectroscopy (IR) measurements. The α form of a pseudo-orthorhombic structure with each unit cell containing two 10 3 helical chains was identified by De Santis and Kovacs,8 which can be obtained by isothermal crystallization above 120°C (ref. 9 and 10) or by stretching a solution-spun PLLA fiber at relatively low drawing temperatures and/or low hot-draw ratios. 11 The α′ form (or δ form), similar to the α form but with loose chain packing and disordered 10 3 helical conformations, was proposed by Zhang et al. 12 for PLA crystallized below 120°C. Due to its metastability, 13 the α′ form can transform into the α form with increasing temperature up to around 160°C just before its melting point 9,14 through the transition mechanism of the ordering of chain conformation along with the regularization of chain packing as well as the relative height matching of the neighboring α′ domain. 15 The α form of the PLA crystal can be obtained at lower temperatures (below 100°C) with strong shearing. 3 The properties of PLA are related to the content ratio of the α and α′ forms. The higher content of the α form will enhance Young's modulus and the barrier to water vapor of PLA films. 16 Stretching amorphous PLA samples at different temperatures and drawing rates can induce different ordered structures. When the stretching temperatures did not exceed 70°C, the amorphous PLA-containing mesophase 17 was stretched into the less ordered mesocrystal due to the relatively low chain segment mobility. 1,[18][19][20][21][22][23][24][25][26] When the drawing temperature was higher than 70°C, the amorphous PLA could be drawn into both the mesocrystal and crystal at lower temperatures and into the crystal only at higher temperatures. 1,4,19,20,27 Above 100°C, the degrees of strain-induced crystallization and crystal orientation decrease pronouncedly due to the high chain relaxation. 25 With the drawing rate increasing, the upper temperature limitation of the strain-induced mesocrystal formation shifts to a higher value, due to the beneficial effect of higher chain orientation induced by the higher drawing rate on the formation of the strain-induced mesocrystal. 1,19 The strain-induced crystallinity and degree of crystal orientation as well as cavitations increase with strain rate, leading to stronger strain-hardening. 4 The strain-induced ordered structures (mesocrystal and crystal) and crystal orientation of amorphous PLA stretched at a wide temperature range have been investigated extensively. However, the strain-induced variations of crystalline structures (containing lamellae and forms of the crystal) during stretching at different temperatures have been rarely reported. In the present work, the effects of strain on the variation of crystal structures (α and α′ forms) and cold crystallization behavior together with the mechanical properties of stretched PLA were investigated within 100-150°C. Based on the in situ synchrotron WAXS/SAXS results, the straininduced variation of the stacked lamellar structure of PLA during stretching within 100-150°C was discussed.
Sample preparation. PLA granules were dried in a vacuum oven at 50°C for 24 hours, and then melted at 200°C and compressed into a sheet with a thickness of about 0.5 mm. After long enough time under 20 MPa, the melted PLA sheet was immersed in ice water as soon as possible to obtain amorphous PLA samples. Dumbbell-shaped amorphous sample bars with dimensions of 26.0 mm (gauge length) × 3.0 mm (neck length) × 2.1 mm (neck width) were cut from the amorphous PLA sheet for in situ structure determination dur-ing stretching. At the same time, annealed PLA samples were prepared by annealing amorphous PLA at 70°C, 80°C, 90°C, 100°C, 120°C and 150°C in a vacuum oven for 12 hours . In  the present study, the amorphous PLA sample is labeled as  aPLA, and the PLA samples annealed at 70°C, 80°C, 90°C,  100°C, 120°C and 150°C for 12 hours are labeled as  A70PLA, A80PLA, A90PLA, A100PLA, A120PLA and A150PLA, respectively. The meanings of "a" and "Ai" in the above sample names are "amorphous" and "annealed at i°C", respectively.

Tensile measurements
The amorphous PLA bars were heated to 100°C, 120°C and 150°C with a temperature equilibrium time of 1 minute, and then stretched at a drawing rate of 1 μm s −1 by using a Linkam TST350 hot tensile stage (Linkam Scientific Instruments, Ltd., U.K.), which could draw the bar symmetrically so that the incident beam could illuminate the same position of the sample. For comparison of the mechanical properties of the different PLA samples under different temperatures, the amorphous PLA was stretched at 70°C, 80°C and 90°C, and the A70PLA, A80PLA, A90PLA, A100PLA, A120PLA and A150PLA samples were stretched at the corresponding annealing temperatures. The stress and strain mentioned in this study are all engineering stress and engineering strain obtained from the tensile hot stage.

In situ synchrotron SAXS and WAXS measurements
In situ synchrotron SAXS and WAXS measurements of the amorphous PLA samples during stretching at 100°C, 120°C and 150°C with a drawing rate of 1 μm s −1 were performed at beamline 1W2A (λ = 0.154 nm) of the Beijing Synchrotron Radiation Facility (BSRF, Beijing, China) 28 with a Mar165-CCD detector (MAR USA, with a resolution of 2048 × 2048 pixels and a pixel size of 79 × 79 μm 2 ). The sample-detector distances of 1550 mm and 90 mm were adopted for the SAXS and WAXS measurements, respectively. The corresponding background of the air and tensile device between the sample and the detector was recorded and subtracted from all of the 2D patterns. 29

Mechanical properties under different stretching temperatures
The engineering stress-strain curves of the amorphous PLA samples stretched uniaxially within 100-150°C are shown in Fig. 1a. The mechanical properties of amorphous PLA showed an abnormal change with drawing temperature within 100-150°C. In the elastic deformation region (strain lower than 2%), the Young's modulus of PLA stretched at 100°C is the lowest, that at 120°C is the highest, and that at 150°C is located between them. After the elastic deformation stage, the stress of PLA drawn at 100°C increases linearly and exceeds that at 150°C with strain larger than 3%. However, neither the stress of PLA drawn at 100°C nor that at 150°C can exceed that at 120°C. In all of the stretching processes, the amorphous PLA drawn at 120°C has the highest modulus, stretching strength and moderate elongation, showing the best mechanical properties.
To understand the mechanical behaviors shown in Fig. 1a, the Young's modulus of amorphous PLA and annealed PLA stretched within a wider temperature range and the difference between them varying with drawing temperature are shown in Fig. 1b and c, respectively. As shown in Fig. 1b, the Young's modulus of annealed PLA with annealing-induced constant crystallinity decreases with increasing drawing temperature due to the activation of vibration and movement of polymer chain segments induced by high drawing temperatures. 30 The Young's modulus of amorphous PLA also decreases with drawing temperature within 70-100°C; however, it shows a fluctuating change within 100-150°C. Correspondingly, the discrepancy of Young's modulus between annealed and amorphous PLA (ΔE) stretched within 100-150°C also shows an anomalous variation compared to that within 70-100°C. ΔE remains almost constant within the drawing temperature of 70-80°C. At moderate drawing temperatures, i.e. 80-100°C, ΔE begins to decrease and gradually falls to zero when the drawing temperature is higher than 100°C. The anomalous variation of Young's modulus of amorphous PLA stretched within 100-150°C will be discussed in detail in the next section.

In situ WAXS/SAXS measurements
To identify the mechanical behavior-related structures of amorphous PLA stretched within 100-150°C, in situ synchrotron SAXS and WAXS measurements were performed to investigate the structure evolutions of PLA during the drawing process. Selective 2D SAXS and WAXS patterns acquired in the stretching process together with the stress-strain curves are shown in Fig. 2. As shown in Fig. 2a, the WAXS pattern of the undrawn PLA sample shows two weak scattering rings, corresponding to the (200/110) and (203) planes, respectively, from inner to outer. Meanwhile, the SAXS pattern of the undrawn sample exhibits no scattering halo of the stacked lamellar structure. This reveals that the thermally-induced initial crystallinity of PLA at 100°C is low. The scattering rings of (200/ 110) and (203) planes in the WAXS patterns become stronger with strain. Meanwhile, the scattering halo of the stacked lamellae 31 in the SAXS patterns appears gradually and becomes stronger along the equator, as shown in the SAXS patterns from 3S to 6S. This indicates that the crystallinity increases and the crystalline layer forms and orients along the direction perpendicular to the stretching direction with increasing strain. A weak scattering streak appears on the meridian of the SAXS pattern at the late stretching stage, which can be ascribed to the formation of microfibrils. 32 Before stretching, the PLA sample at 120°C shows four scattering rings related to the (010), (200/110), (203) and (210) planes from inner to outer in the WAXS pattern, revealing the formation of a more Fig. 1 (a) The engineering stress-strain curves of amorphous PLA drawn at 100°C, 120°C and 150°C, (b) the drawing temperature dependence of Young's modulus, E, obtained from amorphous PLA and annealed PLA stretched at the corresponding annealing temperatures, and (c) the drawing temperature dependence of the difference of E, ΔE, between annealed PLA and amorphous PLA drawn at the corresponding annealing temperatures (aPLA/D100, aPLA/D120 and aPLA/D150 correspond to the amorphous PLA samples drawn at 100°C, 120°C and 150°C. The "a" and "Di" in the above sample names mean "amorphous" and "drawn at i°C", respectively. The annealed PLA samples in (b) and (c) refer to the PLA samples annealed at 70°C, 80°C, 90°C, 100°C, 120°C and 150°C for 12 hours).
This journal is © The Royal Society of Chemistry 2016 ordered crystalline structure than that at 100°C, as shown in Fig. 2b. An isotropic scattering halo in the SAXS pattern is evidence of the existence of isotropic lamellae in the undrawn sample, indicating the high thermally-induced crystallinity of PLA before drawing at 120°C. With the stretching proceeding, no obvious changes in the WAXS patterns can be ob-served. The isotropic scattering halo in the SAXS patterns orients gradually and presents two intense arcs on the equator, indicating the strain-induced orientation of the lamellar layer along the direction vertical to the stretching axis. As the drawing temperature increases up to 150°C, the undrawn PLA shows a highly ordered structure with high crystallinity, as indicated by more scattering rings in the WAXS pattern of 1W and the broad scattering halo in the SAXS pattern of 1S in Fig. 2c. Due to the much higher chain segment mobility of PLA at 150°C, no obvious changes can be observed from both the WAXS and SAXS patterns with increasing strain, except for a slight intensity enhancement of the SAXS pattern at the final stage of stretching related to the formation of a more ordered crystal.
Further treatments of WAXS and SAXS data are necessary to obtain more detailed information on the structural variations. The 1D WAXS profiles of PLA stretched within 100-150°C were obtained by meridional integration and are shown in Fig. 3a-c. The WAXS profiles of undrawn PLA are similar to those of annealed PLA within 100-150°C in terms of the diffraction peaks. The reported studies 3,9,10,12 showed that only the α′ crystal of PLA can be obtained upon crystallization below 100°C, the coexistence of α′ and α forms can be observed between 100°C and 120°C, and only the α form exists at or above 120°C. The (010) and (203) planes are common to α and α′ forms, whereas the (103) and (210) reflections are related to the α form only. 9,20 Therefore, the PLA sample before stretching at 100°C contains both α and α′ forms, and those at 120°C and 150°C contain the α form only. Upon stretching within 100-150°C, the positions of all diffraction peaks of PLA shift to higher 2θ values, indicating the straininduced higher ordering of both α and α′ forms. The zoomed-up profiles of the (203) reflection of PLA drawn at 100°C along with those of PLA annealed at 90°C and 120°C are shown in Fig. 3d. It is shown that the intensity of the diffraction peak of the (203) plane of PLA stretched at 100°C increases with strain and the position shifts to that of PLA annealed at 120°C related to the α form only, which implies that the structural ordering of the PLA crystal increases gradually 9 and more α phases are formed from the stretched α′ phase and/or from the amorphous phase directly although the α′ phase still exists. However, it is difficult to identify the variations of the content ratio between the α′ and α phases induced by strain from the WAXS data quantitatively due to the significant similarity between the α and α′ forms except for the chain conformation and chain packing mode. 33 The lattice spacing of the crystal planes can be calculated according to Bragg's equation with its peak position 3 and be used to characterize the degree of chain packing of the crystal. 9   The crystallinity of PLA during stretching within 100-150°C was obtained by peak-fitting of the obtained WAXS profiles using the Jade 6.0 software with the fitting method proposed by Stoclet et al., 1,19 which assumes Gaussian profiles for all scattering peaks and amorphous halos. The crystallinity was calculated using the area ratio of the crystal diffraction peaks and the total scattering peaks. The calculated crystallinity during stretching varying with drawing time is shown in Fig. 5. For comparison, the crystallinity of PLA annealed within 100-150°C for 12 hours is also calculated and included here. As shown in Fig. 5, the initial crystallinity of PLA drawn at 120°C is the highest among those drawn  This journal is © The Royal Society of Chemistry 2016 within the measured temperatures, which is due to the highest quiescent crystallization rate of PLA at around 120°C . 34 Upon stretching within 100-150°C, the crystallinity of the drawn PLA samples linearly increased with drawing time, especially that drawn at 100°C, which has the largest increment due to it being subjected to stretching. It is worth noting that the crystallinity of PLA drawn within 100-150°C would increase linearly up to the values for PLA annealed at the same temperatures with much less drawing time (about a maximum of 9 minutes) compared to annealing time (720 minutes) if the sample was not broken during stretching, which reveals that the rate of strain-induced cold crystallization of PLA is much higher than that of quiescent cold crystallization within 100-150°C. This can be attributed to the coordination effects of strain-induced chain orientation and the high chain segment mobility on cold crystallization of PLA when stretched at high temperatures.
Based on the difference in thermally-induced initial crystallinity of amorphous PLA before stretching within 100-150°C , the above anomalous variation of Young's modulus of amorphous PLA with drawing temperature could be interpreted. The Young's modulus of a polymer can be influenced by the combined effects of initial crystallinity and temperaturerelated chain segment mobility. The higher initial crystallinity and the lower chain segment mobility correspond to higher Young's modulus. The chain segment mobility of PLA at 100°C is the lowest but with the lowest crystallization rate. The crystallization of PLA at 120°C is the fastest 34 but with moderate chain segment mobility. The crystallization of PLA at 150°C is also fast but with the highest chain segment mobility. Therefore, the Young's modulus of PLA drawn at 120°C is the highest among those drawn at 100°C, 120°C and 150°C as a result of the coordination effects of high initial crystallinity and moderate chain segment mobility. This implies that the Young's modulus of PLA is more dependent on the initial crystallinity at the lower drawing temperature and on the chain segment mobility at the higher drawing temper-ature, which supports the variation of the discrepancy of Young's modulus between annealed and amorphous PLA (ΔE) within a wider drawing temperature range (70-150°C), as shown in Fig. 1c. At lower drawing temperatures, i.e. 70-80°C, ΔE is high and remains almost unchanged with drawing temperature, which is due to the fact that Young's modulus is mainly influenced by the initial crystallinity of the PLA samples and the difference in initial crystallinity between the annealed and amorphous PLA samples is large and constant within 70-80°C. At moderate drawing temperatures, i.e. 80-100°C, the effect of chain segment mobility on Young's modulus becomes stronger due to the increased drawing temperatures and can partly counteract the effect of the difference in initial crystallinity between the annealed and amorphous PLA samples, which leads to the onset of decrease in ΔE. When the drawing temperature is higher than 100°C, the effect of high chain segment mobility induced by the high temperature on Young's modulus overcomes the effect of the difference in initial crystallinity between the annealed and amorphous PLA samples and trends to be dominated, making ΔE much smaller and even zero.
The meso-scale structure (the long period of stacked lamellar structure, the thickness of lamellar layer and amorphous layer in one long period) evolutions of PLA stretched within 100-150°C can be analyzed according to the obtained SAXS data. The 1D SAXS profiles were obtained by integration taken along the equatorial direction and the meridional direction from the 2D SAXS patterns. The obtained SAXS profiles were Lorentz-corrected by multiplying IĲq) by q 2 and are shown in Fig. 6. Upon stretching at 100°C, both the scattering peak of the equatorial direction and that of the meridional direction appear gradually and become stronger with increasing strain, which indicates that the lamellar crystal forms and increases gradually with increasing strain. Meanwhile, the position of the scattering peaks of the two directions shifts to a higher q value, revealing that the long periods of the stacked lamellar structure parallel and perpendicular to the stretching direction all decrease, which can be attributed to the significant increase of lamellar crystals. When drawn at 120°C, the scattering peak of the equatorial direction moves to a lower q value, whereas that of the meridional direction shifts to a higher q value, which indicates that the long period along the stretching direction becomes larger and that vertical to the stretching direction becomes smaller. However, upon stretching at 150°C, the position of the scattering peaks of the equatorial and meridional directions exhibits almost no change, revealing that the long periods parallel and perpendicular to the stretching direction remain almost unchanged.
To detect the different variations of the stacked lamellar structure of PLA drawn at different temperatures in detail, the long period of stacked lamellae, L, the thickness of the lamellar crystal, L c , and the orientation degree of the lamellar crystal, f, were obtained and analyzed. L and L c were calculated from the Lorentz-corrected SAXS profiles by using the one-dimensional electron density correlation function KĲz): 35 Fig. 5 The variation of crystallinity of PLA stretched within 100-150°C with time (drawing time or annealing time). For comparison, the values for PLA annealed at 100°C, 120°C and 150°C for 12 hours are also included here (aPLA/D100, aPLA/D120 and aPLA/D150 correspond to amorphous PLA drawn at 100°C, 120°C and 150°C. A100PLA, A120PLA and A150PLA correspond to the PLA samples annealed at 100°C , 120°C and 150°C for 12 hours). (1) where z is parallel to the drawing direction and IĲq) is the 1D intensity profile. Multiplication of q 2 and IĲq) is always carried out to account for the partially oriented structure. 31 The orientation degree of the lamellar crystal, f, of PLA drawn within 100-150°C was calculated based on the 360°azimuthintegrated SAXS profiles, IĲΦ), according to Herman's orientation function: 5 (2) where Φ is the angle between the chain axis and the reference axis (stretching direction), and cos 2 Φ is defined as: where IĲΦ) is the scattering intensity along the angle Φ.
The obtained L, L c and f of PLA drawn within 100-150°C are shown in Fig. 7. Upon stretching at 100°C, no stacked lamellar structure appeared in the PLA sample with strain smaller than 1.5%, due to the low crystallinity at this stage. Within the strain ranging from 1.5% to 5%, the L along the equator (along the stretching direction) and along the meridian (perpendicular to the stretching direction) begin to appear and are all decreased, meanwhile the L c along the two directions are also decreased but with much smaller decrement. This means that the decrease in L is mainly attributed to the decrease in thickness of the amorphous layer between the two lamellae in which the new lamellae are formed gradually, as revealed by the significant increase in crystallinity. On the other hand, the decrement of L along the equator is slightly larger than that along the meridian, which can be because more lamellae are stretched and become oriented gradually along the direction perpendicular to the stretching axis, as shown in Fig. 7d. Both the L along the equator and that along the meridian remain almost unchanged after the strain becomes larger than 5%. The constant L along the equator may be attributed to the fact that the newly appeared lamella-induced decrease of L along the equator is almost counteracted by the strain-induced increase of amorphous layer thickness, and the constant L along the meridian is due to the fact that the strain-induced decrease of amorphous layer thickness along the meridian is nearly offset by the increase of amorphous layer thickness due to the straininduced breaking, rotation and orientation of pre-existing lamellae between amorphous layers. Drawn at 120°C, the stacked lamellar structure exists initially in the PLA sample due to the high initial crystallinity. With increasing strain, the L along the equator exhibits a slight increase and that along the meridian decreases slightly, whereas the L c along the equator and meridian remain almost unchanged. Therefore, the increase of L along the equator is expected to mainly originate from the strain-induced increase of amorphous layer thickness along the equator, and the decrease of L along the meridian is mainly due to the strain-induced decrease of amorphous layer thickness along the meridian. Meanwhile, some lamellar crystals along the stretching direction are stretched to break, rotate and obtain a quick and high orientation along the direction vertical to the stretching axis, as shown in Fig. 7d, which weakens the effect of strain-induced variations of amorphous layer thickness on L along the two directions and therefore leads to only a slight variation of L. Upon stretching at 150°C, the L c along the two directions exhibit almost no change. Meanwhile, due to the very high chain relaxation at this temperature, the strain can induce very little variation in amorphous layer thickness along the two directions and a very slow and low orientation of lamellar crystals, which leads to the L along the two directions almost unchanged during stretching, as shown in Fig. 7c.
It is worth noting that the thickness of the lamellar crystal of PLA stretched within 100-150°C exhibits different variations with strain, i.e., having an obvious decrease first and then leveling off at 100°C, however, remaining almost unchanged with strain at 120 and 150°C, which can be attributed to the partial transition of the α′ form to the α form induced by strain. The reported results revealed that the α′ form of PLA contains a disordered multi-domain structure in which the domains containing the loose chain packing and disordered 10 3 helical conformations are gathered together with a mismatched relative height between the neighboring domains. 12,15 Based on the reported results and the WAXS/ SAXS results in the present work, a schematic structural model as shown in Fig. 8 was established to better understand the structural variations of PLA stretched within 100-150°C. Upon stretching at 100°C, the initially formed lamellar crystal consists of the α′ form with a mismatched relative height between the neighboring domains. With increasing strain, the α′ form is stretched and transformed partially into the more ordered α form, as revealed by the results in Fig. 4 and 5, via the relative height matching of the neighboring domains along with the ordering of chain conformation and the regularization of chain packing. 15 Therefore, the not well-ordered crystalline domains in the lamellar crystal are stacked more closely and the lamellar thickness decreases obviously. Due to the limited transition of the α′ form to the α form in PLA sample stretched at 100°C, the lamellar thickness exhibits little change at the late stage of stretching. Upon stretching at 120 and 150°C, no transition of the α′ form to the α form occurred. The strain can only induce the increase in the degree of chain packing of the α form, which has little effect on the stacked lamellar structure. Therefore, the lamellar thickness remains almost unchanged with strain.

Conclusions
The deformation behaviors and structure evolutions of amorphous PLA samples stretched within 100-150°C were investigated with uniaxially tensile deformation combined with in situ synchrotron WAXS and SAXS measurements. The excellent mechanical properties of PLA stretched at 120°C are attributed to the cooperative effects of high thermally-induced initial crystallinity and moderate chain segment mobility. The stretching can induce the increase in structural ordering of both α′ and α forms of PLA drawn within 100-150°C with the shift of diffraction peaks to higher 2θ values and the linear decrease in lattice spacing of the (200/110) and (203) planes. Especially for drawing at 100°C, the initial peak of the (203) plane related to the coexistence of α′ and α forms shifts gradually closer to that of PLA annealed at 120°C related to the α form only, which implies that the structural ordering of the PLA crystal enhances gradually and more α phases can be formed from the stretched α′ phase and/or from the amorphous phase directly although the α′ phase still exists. The crystallinity of PLA stretched within 100-150°C increases linearly with drawing time, and the rate of strain-induced cold crystallization is much higher than that of quiescent cold crystallization within 100-150°C.
The long period of PLA stretched within 100-150°C exhibits different variations. Drawn at 100°C, with strain less than 5%, the L along and vertical to the stretching direction are all decreased obviously, which is mainly attributed to the decrease in thickness of the amorphous layer in which new lamellae are formed gradually. Due to more lamellae being oriented vertical to the stretching axis, the decrement of L along the stretching direction is slightly larger than that vertical to the stretching axis. With strain larger than 5%, the L along the two directions remain almost unchanged, due to the balance between the variations of amorphous layer thickness induced by strain and by lamellae. At 120°C, the L along and vertical to the stretching direction have opposite changes but all with very small amplitudes, which can be due to the combined effects of the strain and lamellar orientation on amorphous layer thickness. Upon stretching at 150°C, the L along the two directions remain almost unchanged, due to the strain-induced small variation of amorphous layer thickness and a very slow and low orientation of existing lamellae.
Furthermore, the lamellar thickness also exhibits different variations with strain within 100-150°C, which can be attributed to the partial transition of the α′ form of PLA to its α form induced by strain. Fig. 8 The schematic structural model of amorphous PLA stretched within 100-150°C. "d" corresponds to the lattice spacing of crystal planes, and "L c " corresponds to the lamellar thickness. After stretching at 100°C, d 1 and L c1 are all decreased which is induced by the partial transition of the α′ form to the α form. However, upon stretching at 120°C and 150°C, only d 2 exhibits a slight decrease and L c2 remains almost unchanged as no transition of the α′ form to the α form occurs.