An integral bound for the strain energy in nonlinear elasticity in terms of the boundary displacements
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mechanics of Materials,General Materials Science
Link
http://link.springer.com/content/pdf/10.1007/BF00040977.pdf
Reference7 articles.
1. Dou, A., Upper estimate of the potential elastic energy of a cylinder.Communications on Pure and Applied Mathematics 19 (1966) 83?93.
2. Bramble, J. H. and L. E.Payne, A priori bounds in the first boundary value problem in elasticity.Journal of Research of the National Bureau of Standards. Section B 65B (1961) 269?276.
3. Bramble, J. H. & L. E.Payne, Some inequalities for vector functions with applications in elasticity.Arch. Rational Mech. Anal. 11 (1962) 16?26.
4. Edelstein, W. S., A priori bounds for the displacement problem in viscoelasticity.SIAM Journal of Applied Mathematics 23 (1972) 396?408.
5. Neapolitan, R. E., and W. S.Edelstein, A priori bounds for the secondary boundary value problem in linear viscoelasticity.SIAM Journal of Applied Mathematics 28 (1974) 559?564.
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1. Bibliography;Mathematical Elasticity Volume I: Three-Dimensional Elasticity;1988
2. A continuous dependence result for one-dimensional nonlinear dielectrics;International Journal of Engineering Science;1987-01
3. On the continuous dependence of solutions on data in finite thermoelastostatics;International Journal of Engineering Science;1986-01
4. An integral bound on the strain energy for the traction problem in non-linear elasticity with sufficiently small strains;International Journal of Non-Linear Mechanics;1981-01
5. Continuous dependence results and a priori estimates in nonlinear micropolar elasticity;Acta Mechanica;1980-03
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