On discrete and discretized nonlinear elastic structures in unilateral contact (stability, uniqueness and variational principles)

DOI10.1016/0020-7683(88)90002-9zbMath0636.73096OpenAlexW2002181588WikidataQ58878642 ScholiaQ58878642MaRDI QIDQ1098367

Anders Klarbring

Publication date: 1988

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(88)90002-9

zbMATH Keywords

dual problemminimization problembifurcationfrictionless contactrigid supportprinciple of virtual worklarge displacementsdiscreteunilateral contactstrainsnonlinear elastic structuresdiscretizedprimal problemprinciple of minimum of potential energyconstant external loadingfinite dimensional vector matrix descriptionforce equilibriumgeneralized stressesmechanical stabilitynonlinear Signorini problemreciprocal formulationset of Kuhn-Tucker relationsuniqueness of incremental response

Mathematics Subject Classification ID

Variational inequalities (49J40) Numerical methods based on nonlinear programming (49M37) Nonlinear elasticity (74B20) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Variational principles of physics (49S05) Theories of friction (tribology) (74A55)

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