A VARIATIONAL PRINCIPLE FOR PLASTIC HINGES IN A BEAM

DOI10.1142/S021820250900411XzbMath1187.49008OpenAlexW2006847504MaRDI QIDQ3400127

Franco Tomarelli, Danilo Percivale

Publication date: 5 February 2010

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021820250900411x

zbMATH Keywords

relaxationplastic hingeselastic-plastic beamfree gradient-discontinuity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items

Linearization of elasticity models for incompressible materials, Variational linearization of pure traction problems in incompressible elasticity, A candidate local minimizer of Blake and Zisserman functional, A new variational approach to linearization of traction problems in elasticity, Plastic Hinges in a Beam, The gap between linear elasticity and the variational limit of finite elasticity in pure traction problems, Variational Problems for Föppl--von Kármán Plates, Elastic-brittle reinforcement of flexural structures

Cites Work

• Superposition and chain rule for bounded Hessian functions
• Strong solution for an elastic-plastic plate
• The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks
• FROM SPECIAL BOUNDED DEFORMATION TO SPECIAL BOUNDED HESSIAN: THE ELASTIC–PLASTIC BEAM
• Plastic Hinges in a Beam
• Mathematical Models for Elastic Structures