Dual extremum principles and error bounds in nonlinear elasticity theory

DOI10.1007/BF00049191zbMath0396.73016MaRDI QIDQ1253555

H. Stumpf

Publication date: 1978

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

Conjugate Energy FunctionConvex FunctionDisplacement GradientFenchel InequalityFirst Piola-Kirchoff Stress TensorMixed Boundary-Value ProblemsNonlinear Elasticity TheoryStrain Energy Density

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Dynamical problems in solid mechanics (74H99) Convexity of real functions of several variables, generalizations (26B25) Elastic materials (74B99)

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On minimum-principles for the initial-boundary-value problem of elastic-plastic plates with moderate rotations ⋮ On the dual formulation of boundary value problems in nonlinear elastostatics ⋮ The derivation of dual extremum and complementary stationary principles in geometrical non-linear shell theory ⋮ Variational principles of nonlinear fracture mechanics

Cites Work

• New horizons in the mechanics of solids
• The stationary principle of complementary work in non-linear theory of elasticity
• Zur Variationsformulierung nichtlinearer Randwertprobleme
• On the Principle of Stationary Complementary Energy in the Nonlinear Theory of Elasticity
• State Constraints in Convex Control Problems of Bolza
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