Va. Lubarda et al., DAMAGE MODEL FOR BRITTLE ELASTIC SOLIDS WITH UNEQUAL TENSILE AND COMPRESSIVE STRENGTHS, Engineering fracture mechanics, 49(5), 1994, pp. 681-697
The paper presents a rate-type constitutive analysis of damage, applic
able to brittle materials whose elastic properties degrade during a de
formation process. Different tensile and compressive material response
s are modeled incorporating positive and negative projections of the s
tress or strain tensors. Proposed evolution laws for the rate of compl
iance tensors are consistent with some of the prominent features of br
ittle material response. A new structure of the damage surface is intr
oduced for a more accurate account of the effects of the hydrostatic s
tates of stress on the overall response. Derived rate constitutive equ
ations provide the explicit representation of the tangent compliance t
enser. The proposed model is applied to uniaxial tension and compressi
on to illustrate nonlinear relationships between stress and longitudin
al, lateral, and volumetric strains. The proposed model is compared wi
th some of the existing theories.