Nonlinear rate-dependent spectral constitutive equation for viscoelastic solids with residual stresses

被引：3
|
作者：
Shariff, M. H. B. M. [1 ]
Merodio, J. [2 ]
机构：
[1] Khalifa Univ Sci & Technol, Coll Arts & Sci, Dept Math, Abu Dhabi, U Arab Emirates
[2] Univ Politecn Madrid, Escuela Ingn Caminos, Dept Continuum Mech & Struct, Madrid 28040, Spain
来源：
JOURNAL OF ENGINEERING MATHEMATICS | 2021年 / 129卷 / 01期
关键词：
Deformation indicators; Nonlinear viscoelasticity; Rate of deformation indicators; Residual stress; Spectral physical invariants; STRAIN-ENERGY FUNCTION; RUBBER; ELASTICITY; EXTENSION; MODELS;
D O I：
10.1007/s10665-021-10148-w
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A spectral constitutive equation for finite strain viscoelastic bodies with residual stresses is developed using spectral invariants, where each spectral invariant has a clear physical meaning. A prototype constitutive equation containing single-variable functions is presented; a function of a single invariant with a clear physical interpretation is easily manageable and is experimentally attractive. The effects of residual stress and viscosity are studied via the results of some boundary value problems, and some of these results are compared with experimental data.
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页数：22
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