Design sensitivity for a hyperelastic rod in large displacement with respect to its midcurve shape

DOI10.1023/A:1022672830274zbMath0907.90279OpenAlexW109273322MaRDI QIDQ1264981

J. Piekarski, Bernard Rousselet, Andrzej Myśliński

Publication date: 2 December 1998

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022672830274

zbMATH Keywords

necessary optimality conditionsnumerical methodsshape optimizationnonlinear elliptic systems

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Optimization problems in solid mechanics (74P99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A finite strain beam formulation. The three-dimensional dynamic problem. I
• Consistent linearization for path following methods in nonlinear FE analysis
• A three-dimensional finite-strain rod model. II. Computational aspects
• Design sensitivity analysis of structural systems
• The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates
• Large buckled states of nonlinearly elastic rods under torsion, thrust, and gravity
• Ordinary differential equations of non-linear elasticity. II: Existence and regularity theory for conservative boundary value problems
• Convexity conditions and existence theorems in nonlinear elasticity
• The Lagrange-Newton method for nonlinear optimal control problems
• Design sensitivity analysis of nonlinear structures in regular and critical states
• Dependence of the buckling load of a nonshallow arch with respect to the shape of its midcurve
• Strongly Regular Generalized Equations
• Finite element computation of hyperelastic rods in large displacements

This page was built for publication: Design sensitivity for a hyperelastic rod in large displacement with respect to its midcurve shape