From Size-Effect Evaluation to Continuum Models with Strain Softening
Standard uniaxial tensile tests allow to measure the specimen “average” response, but assuming this as a constitutive relationship for 1-D continuum models leads to well-know inconsistencies, such as strain localization or null fracture work, especially when strain softening is involved. Using recent results of variational convergence of discrete functionals (Γ–convegence), a method is here proposed to conceive consistent continuum models starting from the experimental observation of the size-dependent response (size-effect). In general, the resulting model is à la Hillerborg, where softening and fracture are interpreted by the dichotomy between bulk and interface energy.
KeywordsFracture Energy Strain Softening Constitutive Relationship Continuous Displacement Variational Convergence
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