Mathematical programming and nonlinear finite element analysis

DOI10.1016/0045-7825(79)90029-XzbMath0406.73002OpenAlexW1993550797MaRDI QIDQ1257770

K. Appert

Publication date: 1979

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(79)90029-x

zbMATH Keywords

Nonlinear Finite Element AnalysisFinite Elastoplastic AnalysisMathematical Programming TechniquesPlastic Limit AnalysisStructural Plasticity Problems

Mathematics Subject Classification ID

Anelastic fracture and damage (74R20) Finite element methods applied to problems in solid mechanics (74S05) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

Related Items

A fast first-order optimization approach to elastoplastic analysis of skeletal structures, A mathematical programming approach to three-dimensional contact problems with friction, Frictional contact problems with normal compliance, Improved SNS-PFEM framework with dual mortar method to model geotechnical large deformation contact problems, A combined parametric quadratic programming and iteration method for 3-D elastic-plastic frictional contact problem analysis, A finite element model for contact analysis of multiple Cosserat bodies, Analysis of elastic and elastic-plastic adhesive joints using a mathematical programming approach, Quadratic programming method in numerical simulation of metal forming process.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inelastic analysis of suspension structures by nonlinear programming
• On a stability condition for elastic plastic structures
• Historical deformation analysis of elastoplastic structures as a parametric linear complementarity problem
• Extremum theorems for large displacement analysis of discrete elastoplastic structures with piecewise linear yield surfaces
• A feasible conjugate direction method to solve linearly constrained minimization problems
• A quadratic programming approach for certain classes of non linear structural problems
• A matrix structural theory of piecewise linear elastoplasticity with interacting yield planes
• Shakedown theory in perfect elastoplasticity with associated and nonassociated flow-laws: A finite element linear programming approach
• Incremental plastic analysis in the presence of large displacements and physical instabilizing effects
• Methods of elastoplastic analysis
• Mathematical programming methods for deformation analysis at plastic collapse
• Harmonic Dispersion Analysis of Incremental Waves in Uniaxially Prestressed Plastic and Viscoplastic Bars, Plates, and Unbounded Media
• The Solution of a Quadratic Programming Problem Using Systematic Overrelaxation
• Monotone solutions of the parametric linear complementarity problem
• Elasto‐plastic solutions of engineering problems ‘initial stress’, finite element approach