Damage characterization in non-isothermal stretching of acrylics. Part I: Theory
Source abstract
Abstract
Abstract An improved version of dual-mechanism constitutive model was proposed to describe thermo-mechanical response of amorphous polymers below and above glass transition temperature ( θ g ). Material property definitions and plastic flow rules were revisited to provide a smooth and continuous transition in material response around θ g . The elastic–viscoplastic constitutive model was developed based on thermodynamics framework and was implemented in a fully coupled thermo-mechanical simulation of non-isothermal testing of PMMA in Part II [Gunel, E. M., Basaran, C., 2010. Damage characterization in non-isothermal stretching of acrylics. Part II: Experimental validation. Mechanics of Materials]. For damage evolution in complex thermo-mechanical problems such as polymer processing operation, irreversible entropy production was considered as the measure of damage.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Elasticity and Material Modeling · Polymer crystallization and properties · Rheology and Fluid Dynamics Studies
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (59)
Show source-provided references
1. On the coupling of anisotropic damage and plasticity models for ductile materials10.1016/S0020-7683(03)00109-4 ↗
2. A thermo-mechanically coupled theory for large deformations of amorphous polymers. Part II: applications10.1016/j.ijplas.2008.11.005 ↗
3. On H. Hencky’s approximate strain-energy function for moderate deformations10.1115/1.3424532 ↗
4. Moderate deformations in extension-torsion of incompressible isotropic elastic materials10.1016/0022-5096(86)90021-9 ↗
5. A thermo-mechanically coupled theory for large deformations of amorphous polymers. Part I: formulation10.1016/j.ijplas.2008.11.004 ↗
6. A theory of amorphous solids undergoing large deformations, with application to polymeric glasses10.1016/S0020-7683(02)00651-0 ↗
7. A theory for amorphous viscoplastic materials undergoing finite deformations, with application to metallic glasses10.1016/j.jmps.2004.12.006 ↗
8. A theory for the low-temperature plastic deformation of glassy polymers10.1080/14786437308220987 ↗
9. Evolution of plastic anisotropy in amorphous polymers during finite straining10.1016/0749-6419(93)90034-N ↗
10. Effects of strain rate, temperature and thermomechanical coupling on the finite strain deformation of glassy polymers10.1016/0167-6636(94)00034-E ↗
11. Damage mechanics of electromigration induced failure
12. A thermodynamics based damage mechanics model for particulate composites10.1016/j.ijsolstr.2006.06.001 ↗
13. Experimental damage mechanics of microelectronic solder joints under fatigue loading10.1016/j.mechmat.2003.10.002 ↗
14. Relation between the compression yield stress and the mechanical loss peak of bisphenol-A-polycarbonate in the β transition range10.1007/BF00761956 ↗
15. The compression yield behaviour of polymethyl methacrylate over a wide range of temperatures and strain-rates10.1007/BF00756628 ↗
16. Tensile yield-stress behavior of glassy polymers10.1002/pol.1969.160070411 ↗
17. The temperature dependence of yield of polycarbonate in uniaxial compression and tensile tests10.1007/BF02403504 ↗
18. Constitutive modeling of the large strain time-dependent behavior of elastomers10.1016/S0022-5096(97)00075-6 ↗
19. Boltzmann · 1995
20. Constitutive model for the finite deformation stress–strain behavior of poly(ethylene terephthalate) above the glass transition10.1016/S0032-3861(99)00406-1 ↗
21. A plasticity and anisotropic damage model for plain concrete10.1016/j.ijplas.2007.03.006 ↗
22. An Irreversible Thermodynamics Theory for Friction and Wear
23. An experimental study of the correlation between wear and entropy flow in machinery components10.1063/1.1287778 ↗
24. Hot-drawing of poly(methyl methacrylate) and simulation using a glass-rubber constitutive model10.1016/S0032-3861(01)00799-6 ↗
25. The onset of nonlinear viscoelasticity in multiaxial creep of glassy polymers: a constitutive model and its application to PMMA10.1002/pen.10256 ↗
26. Viscosity, plasticity, and diffusion as examples of absolute reaction rates10.1063/1.1749836 ↗
27. Rapid determination of the fatigue curve by the thermographic method10.1016/S0142-1123(01)00107-4 ↗
28. The role of recovery forces in the deformation of linear polyethylene10.1007/BF00544690 ↗
29. Comment on “the compression yield behaviour of polymethyl methacrylate over a wide range of temperatures and strain-rates”10.1007/BF00545162 ↗
30. Temperature and strain rate dependence of the tensile yield stress of PVC10.1002/(SICI)1097-4628(19960705)61:1<109::AID-APP12>3.0.CO;2-2 ↗
31. A new constitutive relation for rubber10.5254/1.3538357 ↗
32. A thermodynamics based damage mechanics constitutive model for low cycle fatigue analysis of microelectronics solder joints incorporating size effects10.1016/j.ijsolstr.2004.11.022 ↗
33. Damage mechanics constitutive model for Pb/Sn solder joints incorporating nonlinear kinematic hardening and rate dependent effects using a return mapping integration algorithm10.1016/j.mechmat.2005.11.008 ↗
34. A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. Part II: finite deformations10.1016/j.ijplas.2005.01.006 ↗
35. A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. Part I: small deformations10.1016/j.jmps.2004.12.008 ↗
36. An investigation of the yield and postyield behavior and corresponding structure of poly(methyl methacrylate)10.1002/polb.1993.090310207 ↗
37. A constitutive model for large multiaxial deformations of solid polypropylene at high temperature10.1002/pen.21426 ↗
38. Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen10.1007/BF00281393 ↗
39. Thermographic methodology for rapid determination of the fatigue limit of materials and mechanical components10.1016/S0142-1123(99)00088-2 ↗
40. Elastic-plastic deformation at finite strains10.1115/1.3564580 ↗
41. Lemaitre · 1996
42. A computational damage mechanics model for thermomigration10.1016/j.mechmat.2008.10.013 ↗
43. Property modeling across transition temperatures in polymers: a robust stiffness-temperature model10.1016/S0032-3861(00)00614-5 ↗
44. Property modeling across transition temperatures in polymers: application to thermoplastic systems10.1023/A:1014383427444 ↗
45. An experimental approach to low-cycle fatigue damage based on thermodynamic entropy10.1016/j.ijsolstr.2009.12.005 ↗
46. On the thermodynamic entropy of fatigue fracture10.1098/rspa.2009.0348 ↗
47. Large strain mechanical behavior of poly(methyl methacrylate) (PMMA) near the glass transition temperature10.1115/1.2345447 ↗
48. Phenomenological description of strain rate and temperature-dependent yield stress of PMMA10.1002/app.1995.070580106 ↗
49. Theory of non-Newtonian flow. I. solid plastic system10.1063/1.1722098 ↗
50. A unified model for stiffness modulus of amorphous polymers across transition temperatures and strain rates10.1016/j.polymer.2005.06.103 ↗
51. A formulation of the cooperative model for the yield stress of amorphous polymers for a wide range of strain rates and temperatures10.1016/j.polymer.2005.05.079 ↗
52. Influence of temperature and strain rate on the mechanical behavior of three amorphous polymers: characterization and modeling of the compressive yield stress10.1016/j.ijsolstr.2005.06.040 ↗
53. Modeling and validation of the large deformation inelastic response of amorphous polymers over a wide range of temperatures and strain rates10.1016/j.ijsolstr.2007.05.018 ↗
54. Theory for the plasticity of glassy polymers10.1063/1.1726558 ↗
55. A thermo-mechanically-coupled large-deformation theory for amorphous polymers in a temperature range which spans their glass transition10.1016/j.ijplas.2010.01.004 ↗
56. A constitutive law for large deformations of polymers at high temperatures10.1016/0022-5096(96)00033-6 ↗
57. Damage Quantification in Metal Matrix Composites
58. mechanics of microelectronics solder joints under high current densities10.1016/S0020-7683(03)00175-6 ↗
59. Mechanical degradation of microelectronics solder joints under current stressing10.1016/j.ijsolstr.2003.08.019 ↗