1988/12/01 by Y. Weitsman · 41 citations
Chemical Engineering · Engineering · Materials Science · Mathematics · #Classical mechanics #Composite material #Constitutive equation #Continuum mechanics #Correspondence principle (sociology) #Elasticity and Material Modeling #Finite element method #Geometry #High-Velocity Impact and Material Behavior #Isotropy #Materials science #Mathematics #Mechanics #Moduli #Physics #Rheology and Fluid Dynamics Studies #Scalar (mathematics) #Softening #Thermodynamics #Viscoelasticity
paper · doi:10.1115/1.3173721
published in Journal of Applied Mechanics 55(4), 773-780 (ASM International)
openalex publication_date 1988/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26
This paper presents a continuum damage model for viscoelastic materials. “Damage” is expressed by two symmetric, second rank tensors which are related to the total areas of “active” and “passive” microcracks within a representative volume element of the multifractured material. Viscoelasticity is introduced through scalar valued internal state variables that represent the internal degrees-of-freedom associated with the motions of long chain polymeric molecules. The constitutive relations are established from basic considerations of continuum mechanics and irreversible thermodynamics, with detailed expressions derived for the case of initially isotropic materials. It is shown that damage causes softening of the material moduli as well as changes in material symmetry. The special cases of uniaxial damage under uniaxial stress and the interaction of damage with moisture diffusion are also considered.