Time-dependent failure of amorphous poly-D,L-lactide: influence of molecular weight.

The specific time-dependent deformation response of amorphous poly(lactic acid) (PLA) is known to lead to rapid failure of these materials in load-bearing situations. We have investigated this phenomenon in uniaxial compression on P(L)DLLA samples with various molecular weights. The experiments revealed a strong dependence of the yield stress on the applied strain rate. Lower molecular weights showed identical deformation kinetics as higher molecular weights, albeit at lower stress values. This dependence on molecular weight was incorporated into an Eyring-equation by introducing mobility through a virtual temperature that is shifted by the deviation of the T(g) from T(g,∞). Stress-dependent lifetime of polymer constructs was described by the use of this modified Eyring-equation, combined with a critical plastic strain. This model proves useful in predicting the molecular weight dependence of the time to failure, although it slightly overestimates life time at low stress levels for a material with very low molecular weight. The versatility of the model is demonstrated on e-beam sterilized PLDLLA, where the resulting reduction in molecular weight induces a substantial decrease in lifetime. A single T(g) measurement provides sufficient information to predict the decrease in lifetime.

[1]  L. Govaert,et al.  Extending the EGP constitutive model for polymer glasses to multiple relaxation times , 2011 .

[2]  D. Grijpma,et al.  Rubber toughening of poly(lactide) by blending and block copolymerization , 1994 .

[3]  H. Visser,et al.  Lifetime Assessment of Load-Bearing Polymer Glasses: An Analytical Framework for Ductile Failure , 2010 .

[4]  L. Govaert,et al.  An Analytical Method To Predict Fatigue Life of Thermoplastics in Uniaxial Loading: Sensitivity to Wave Type, Frequency, and Stress Amplitude , 2008 .

[5]  Mary C. Boyce,et al.  Effects of strain rate, temperature and thermomechanical coupling on the finite strain deformation of glassy polymers , 1995 .

[6]  C. Jackson,et al.  Material Design in Poly(Lactic Acid) Systems: Block Copolymers, Star Homo- and Copolymers, and Stereocomplexes , 1996 .

[7]  B. D. Coleman Application of the theory of absolute reaction rates to the creep failure of polymeric filaments , 1956 .

[8]  C. Buckley,et al.  Plastic deformation of glassy polystyrene: A unified model of yield and the role of chain length , 2004 .

[9]  P. Flory,et al.  Second‐Order Transition Temperatures and Related Properties of Polystyrene. I. Influence of Molecular Weight , 1950 .

[10]  O. F. Solomon,et al.  Détermination de la viscosité intrinsèque de solutions de polymères par une simple détermination de la viscosité , 1962 .

[11]  H. Eyring Viscosity, Plasticity, and Diffusion as Examples of Absolute Reaction Rates , 1936 .

[12]  C. M. Agrawal,et al.  Orthopaedic applications for PLA-PGA biodegradable polymers. , 1998, Arthroscopy : the journal of arthroscopic & related surgery : official publication of the Arthroscopy Association of North America and the International Arthroscopy Association.

[13]  D. Grijpma,et al.  Chain entanglement, mechanical properties and drawability of poly(lactide) , 1994 .

[14]  T. Peijs,et al.  Micromechanical Modeling of Time-Dependent Transverse Failure in Composite Systems , 2000 .

[15]  S. Holdcroft Determination of molecular weights and Mark–Houwink constants for soluble electronically conducting polymers , 1991 .

[16]  J. Bauwens,et al.  Tensile yield‐stress behavior of glassy polymers , 1969 .

[17]  J. Bauwens,et al.  The strain-rate and temperature dependence of yield of polycarbonate in tension, tensile creep and impact tests , 1974 .

[18]  C. M. Agrawal,et al.  Sterilization, toxicity, biocompatibility and clinical applications of polylactic acid/polyglycolic acid copolymers. , 1996, Biomaterials.

[19]  Heh Han Meijer,et al.  Localisation phenomena in glassy polymers: influence of thermal and mechanical history , 2003 .

[20]  M. Mullender,et al.  Radiographic, Histologic, and Chemical Evaluation of Bioresorbable 70/30 Poly-L-lactide-CO-D, L-lactide Interbody Fusion Cages in a Goat Model , 2006, Spine.

[21]  Theo H. Smit,et al.  Time-dependent failure of amorphous polylactides in static loading conditions , 2009, Journal of materials science. Materials in medicine.

[22]  J. E. Dorn,et al.  Anelastic creep of polymethyl methacrylate , 1958 .

[23]  T. Smit,et al.  Time-Dependent Mechanical Strength of 70/30 Poly(l,dl-lactide): Shedding Light on the Premature Failure of Degradable Spinal Cages , 2008, Spine.

[24]  J C Middleton,et al.  Synthetic biodegradable polymers as orthopedic devices. , 2000, Biomaterials.

[25]  Delayed yielding in glassy polymers , 1972 .

[26]  Jöns Hilborn,et al.  Poly(lactic acid) fiber : An overview , 2007 .

[27]  B. Cherry,et al.  Creep rupture of a linear polyethylene: 1. Rupture and pre-rupture phenomena , 1984 .

[28]  T. Peijs,et al.  Prediction of yield and long-term failure of oriented polypropylene: kinetics and anisotropy , 2009 .

[29]  Heh Han Meijer,et al.  Quantitative Prediction of Long-Term Failure of Polycarbonate , 2005 .

[30]  L. Govaert,et al.  Modeling of the Postyield Response of Glassy Polymers: Influence of Thermomechanical History , 2005 .

[31]  van Hgh Melick,et al.  A micro-indentation method for probing the craze-initiation stress in glassy polymers , 2003 .

[32]  M. Mindel,et al.  Creep and recovery of polycarbonate , 1973 .

[33]  Chuan Yi Tang,et al.  A 2.|E|-Bit Distributed Algorithm for the Directed Euler Trail Problem , 1993, Inf. Process. Lett..

[34]  L. V. van Breemen,et al.  Numerical simulation of flat-tip micro-indentation of glassy polymers: Influence of loading speed and thermodynamic state , 2009 .

[35]  M. Boyce,et al.  An experimental and anaiytical investigation of the large strain compressive and tensile response of glassy polymers , 1990 .

[36]  T. Smit,et al.  Sterilization and Strength of 70/30 Polylactide Cages: e-Beam Versus Ethylene Oxide , 2007, Spine.

[37]  Ton Peijs,et al.  A micromechanical approach to time-dependent failure in off-axis loaded polymer composites , 2001 .

[38]  R. D. Andrews,et al.  Cold Drawing of Glassy Polystyrene under Dead Load , 1965 .

[39]  K. Baker,et al.  Early Failure of Bioabsorbable Anterior Cervical Fusion Plates: Case Report and Failure Analysis , 2007, Journal of spinal disorders & techniques.

[40]  G. Thackray,et al.  The use of a mathematical model to describe isothermal stress-strain curves in glassy thermoplastics , 1968, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[41]  C. P. Buckley,et al.  Glass-rubber constitutive model for amorphous polymers near the glass transition , 1995 .