Piecewise Linear Models for Interfaces and Mixed Mode Cohesive Cracks

Interface models mean here relationships between displacement jumps and tractions across a locus of displacement discontinuities. Frictional contact and quasi-brittle fracture interpreted by cohesive crack models are typical mechanical situations concerned by the present unifying approach. Plastic-softening multidissipative interface models are studied in piecewise linear formats, i.e. assuming linearity for yield functions, plastic potentials and relationships between static and kinematic internal variables. The properties and the pros and cons of such simplified models in a variety of formulations (fully non-holonomic in rates, holonomic and in finite steps), all mathematically described as linear complementarity problems, are comparatively investigated in view of overall analyses of structures (like e.g. concrete dams) which include joints and/or are exposed to quasibrittle fracture processes. keyword: Interface and joint models, piecewise linearisation, time-integration.

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