On the Mechanical Constitution of Damageable Materials.
TEXAS A AND M UNIV COLLEGE STATION MECHANICS AND MATERIALS RESEARCH CENTER
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In the investigation, the elements of a mechanical constitutive theory for materials subjected to accumulated local damage, such as that resulting from the growth of small flaws, are laid down within the framework of Nolls theory of simple materials. A macroscopic definition of deformation--induced damage in a material with memory undergoing a motion having finite deformation gradients having first been given, the question of quantifying the damage done by a particular strain history is addressed. It is found that there are constitutive functionals for which the damage cannot be meaningfully measured without a knowledge of the subsequent deformation. The remainder of the paper is devoted to a consideration of a class of damageable materials termed simple for which the accrued damage can be measured solely in terms of the history of strain. A suitably modified fading memory postulate on the stress-functionals of such materials is introduced and its consequences explored. The significance of these theoretical notions is illustrated through a number of examples pertinent to the behavior of composite materials. Author
- Laminates and Composite Materials