A thermo-mechanically coupled theory for large deformations of amorphous polymers. Part I: Formulation

被引:233
作者
Anand, Lallit [1 ]
Ames, Nicoli M. [1 ]
Srivastava, Vikas [1 ]
Chester, Shawn A. [1 ]
机构
[1] MIT, Dept Mech Engn, Cambridge, MA 02139 USA
基金
美国国家科学基金会;
关键词
Amorphous polymers; Viscoplasticity; Large deformations; Thermo-mechanically coupled; GLASSY-POLYMERS; MODE-I; BEHAVIOR; TEMPERATURE; SOLIDS; RUBBER;
D O I
10.1016/j.ijplas.2008.11.004
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this Part I, of a two-part paper, we present a detailed continuum-mechanical development of a thermo-mechanically coupled elas-to-viscoplasticity theory to model the strain rate and temperature dependent large-deformation response of amorphous polymeric materials. Such a theory, when further specialized (Part II) should be useful for modeling and simulation of the thermo-mechanical response of components and structures made from such materials, as well as for modeling a variety of polymer processing operations. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1474 / 1494
页数:21
相关论文
共 29 条
[1]   On modeling the micro-indentation response of an amorphous polymer [J].
Anand, L ;
Ames, NM .
INTERNATIONAL JOURNAL OF PLASTICITY, 2006, 22 (06) :1123-1170
[2]   A theory of amorphous solids undergoing large deformations, with application to polymeric glasses [J].
Anand, L ;
Gurtin, ME .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2003, 40 (06) :1465-1487
[3]  
[Anonymous], LARGE ELASTIC PLAS 1
[4]  
[Anonymous], 1965, HDB PHYS
[5]   EFFECTS OF STRAIN-RATE, TEMPERATURE AND THERMOMECHANICAL COUPLING ON THE FINITE STRAIN DEFORMATION OF GLASSY-POLYMERS [J].
ARRUDA, EM ;
BOYCE, MC ;
JAYACHANDRAN, R .
MECHANICS OF MATERIALS, 1995, 19 (2-3) :193-212
[6]   EVOLUTION OF PLASTIC ANISOTROPY IN AMORPHOUS POLYMERS DURING FINITE STRAINING [J].
ARRUDA, EM ;
BOYCE, MC .
INTERNATIONAL JOURNAL OF PLASTICITY, 1993, 9 (06) :697-720
[7]   A thermo-mechanical study of mode I, small-scale yielding crack-tip fields in glassy polymers [J].
Basu, S ;
Van der Giessen, E .
INTERNATIONAL JOURNAL OF PLASTICITY, 2002, 18 (10) :1395-1423
[8]  
Bauschinger J., 1886, Mittheilungen aus dem Mechanisch- Technischen Laboratorium der Koniglichen Technischen Hochschule in Munchen, V13, P1
[9]   Constitutive modeling of the time-dependent and cyclic loading of elastomers and application to soft biological tissues [J].
Bergström, JS ;
Boyce, MC .
MECHANICS OF MATERIALS, 2001, 33 (09) :523-530
[10]   Constitutive modeling of the large strain time-dependent behavior of elastomers [J].
Bergstrom, JS ;
Boyce, MC .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1998, 46 (05) :931-954