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RESEARCH PRODUCT
A thermodynamically consistent nonlocal formulation for damaging materials
Antonio TralliElena BenvenutiGuido Borinosubject
Nonlocal modelsDiscretizationMechanical EngineeringConstitutive equationGeneral Physics and AstronomyPlasticityComplementarity problemLinear complementarity problemFinite element methodComplementarity problem; Damage; Nonlocal models;Classical mechanicsDamageMechanics of MaterialsConsistency (statistics)Complementarity theoryDissipative systemGeneral Materials ScienceSettore ICAR/08 - Scienza Delle CostruzioniMathematicsdescription
A thermodynamically consistent nonlocal formulation for damaging materials is presented. The second principle of thermodynamics is enforced in a nonlocal form over the volume where the dissipative mechanism takes place. The nonlocal forces thermodynamically conjugated are obtained consistently from the free energy. The paper indeed extends to elastic damaging materials a formulation originally proposed by Polizzotto et al. for nonlocal plasticity. Constitutive and computational aspects of the model are discussed. The damage consistency conditions turn out to be formulated as an integral complementarity problem and, consequently, after discretization, as a linear complementarity problem. A new numerical algorithm of solution is proposed and meaningful one-dimensional and two-dimensional examples are presented. © 2002 Éditions scientifiques et médicales Elsevier SAS. All rights reserved.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-01-01 |