Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains

DOI10.1080/02331934.2015.1111364zbMath1379.35327arXiv1411.4903OpenAlexW144462545MaRDI QIDQ4598850

Tomáš Roubíček, Lukáš Adam, Jiří V. Outrata

Publication date: 15 December 2017

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4903

zbMATH Keywords

identificationoptimal controlquadratic programmingdelaminationcoderivativevariational analysislimiting subdifferentialrate-independent systemsfractional-step time discretizationgradient evaluationimplicit programming approachnonsmooth contact mechanics

Mathematics Subject Classification ID

Quadratic programming (90C20) Control/observation systems governed by partial differential equations (93C20) System identification (93B30) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Optimization of other properties in solid mechanics (74P10) Linear-quadratic optimal control problems (49N10) Finite difference methods applied to problems in solid mechanics (74S20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for variational inequalities and related problems (65K15) PDEs in connection with mathematical programming (35Q90)

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Cohesive zone-type delamination in visco-elasticity ⋮ Normally admissible stratifications and calculation of normal cones to a finite union of polyhedral sets ⋮ Topology Optimization for Incremental Elastoplasticity: A Phase-Field Approach ⋮ Perfect Plasticity with Damage and Healing at Small Strains, Its Modeling, Analysis, and Computer Implementation

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