The role of Fredholm conditions in Signorini's perturbation method

DOI10.1007/BF00280537zbMath0433.73035MaRDI QIDQ1139405

Paolo Podio-Guidugli, Gianfranco Capriz

Publication date: 1979

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

Fredholm conditionsinitial placement of easeinitial placement under stresssignificance of static incompatibilitiesSignorini's perturbation methodstatic balance equations of elastic bodies under dead loads

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Rate of convergence, degree of approximation (41A25) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (9)

Mathematical Problems in Elastic Equilibrium with Finite Deformations ⋮ The Signorini perturbation scheme in an abstract setting ⋮ Structure of the set of equilibrated loads in nonlinear elasticity and applications to existence and nonexistence ⋮ Signorini's method for live loads and second-order effects ⋮ On the traction problem of dead loading in linear elasticity with initial stress ⋮ The flip side of buckling ⋮ A generalization of Signorini's perturbation method suggested by two problems of Grioli ⋮ Symmetry and bifurcation in three-dimensional elasticity ⋮ Elastic approximately constrained materials

Cites Work

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• Some static and dynamic implications of the general theory of elastic stability
• On Signorini's perturbation method in finite elasticity
• Trasformazioni termoelastiche finite. II
• Implications Of Hadamard's Conditions For Elastic Stability With Respect To Uniqueness Theorems

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