Causes and Consequences of Nonuniqueness in an Elastic/Perfectly-Plastic Truss

DOI10.1115/1.3171746zbMath0588.73059OpenAlexW2031487691MaRDI QIDQ3716393

Klaus-Jürgen Bathe, Philip G. jun. Hodge, E. N. Dvorkin

Publication date: 1986

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d70ceec134f75636757c82c62c03538ba00e91f2

zbMATH Keywords

collapsecomplete solutionADINA solutionsdeformed equilibrium approachelastic/perfectly-plastic materialfirst-order deviation from symmetryfirst-order nonlinear terms in the equilibrium equationslinear statics and kinematicsnonunique 3-bar trusspartially nonunique solution in range of contained plastic deformationrestored uniquenessthree-bar symmetric trusstruss with small horizontal load

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Anelastic fracture and damage (74R20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (3)

Nonholonomic computer analysis of elastoplastic frames ⋮ Elastoplastic analysis of structures with nonlinear hardening: A nonlinear complementarity approach ⋮ Large scale nonholonomic elastoplastic analysis using a linear complementarity formulation

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