Error bounds in nonlinear elastostatics
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Publication:1148715
DOI10.1016/0020-7225(80)90059-2zbMath0452.73005OpenAlexW1964828558MaRDI QIDQ1148715
Publication date: 1980
Published in: International Journal of Engineering Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0020-7225(80)90059-2
quotient spacenondegenerate critical pointboundary value problem of place and tractioncomplementary functionalsconstitutive equations invertibleconvexity of strain energy functionestimates for error energy and error normgeneralized interaction energy
Related Items (3)
The solution of elastostatic problems and the principles of minimum potential energy and minimum complementary work under fuzzy boundary conditions ⋮ Nonlinear plate theory applied to delamination in composites ⋮ On the dual formulation of boundary value problems in nonlinear elastostatics
Cites Work
- Variational methods in theoretical mechanics
- Integral estimates for the displacement and strain energy in nonlinear elasticity in terms of the body force
- Convexity conditions and existence theorems in nonlinear elasticity
- Theorems on existence, uniqueness, and stability of the solution of the place boundary-value problem, in statics, for hyperelastic materials
- The stationary principle of complementary work in non-linear theory of elasticity
- A note on variational theorems in non-linear elastostatics
- On the Principle of Stationary Complementary Energy in the Nonlinear Theory of Elasticity
- Equivalent Norms for Sobolev Spaces
- Upper and lower bounds for the solution of the first boundary value problem of elasticity
- Bounds for Solutions of Boundary Value Problems in Elasticity
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