Dual extremum principles in the dynamics of rigid perfectly-plastic bodies undergoing finite deformations

DOI10.1016/0022-5096(81)90026-0zbMath0464.73114OpenAlexW2162863710MaRDI QIDQ1154330

Reddy, B. Daya

Publication date: 1981

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-5096(81)90026-0

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear elasticity (74B20) Maximum principles in context of PDEs (35B50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Optimization problems in solid mechanics (74P99) Variational principles of physics (49S05)

Cites Work

• On uniqueness and stability in the theory of finite elastic strain
• Large deformation, rigid-plastic dynamics by an extremum principle
• A quadratic programming approach to the impulsive loading analysis of rigid plastic structures
• Minimum principles in the dynamics of isotropic rigid-plastic and rigid- viscoplastic continuous media
• On the extremal properties of the solution in dynamics of rigid- viscoplastic bodies allowing for large displacement effects
• On Variational Formulations for Non-Linear, Non-Potential Operators
• Fluid Dynamics / Strömungsmechanik
• On dual approximation principles and optimization in continuum mechanics
• On Dual Extremum Principles in Applied Mathematics
• Unnamed Item

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