Integrability of displacement and stresses in linear and nonlinear elasticity with mixed boundary conditions

作者: Roland Herzog , Christian Meyer , Gerd Wachsmuth

DOI: 10.1016/J.JMAA.2011.04.074

关键词:

摘要: Abstract Equations of linear and nonlinear infinitesimal elasticity with mixed boundary conditions are considered. The bounded domain is assumed to have a Lipschitz satisfy additional regularity assumptions. W 1 , p for the displacements L stresses proved some > 2 .

参考文章(16)
B. E. J. Dahlberg, C. E. Kenig, G. C. Verchota, Boundary value problems for the systems of elastostatics in Lipschitz domains Duke Mathematical Journal. ,vol. 57, pp. 795- 818 ,(1988) , 10.1215/S0012-7094-88-05735-3
Marcel Riesz, Sur les maxima des formes bilinéaires et sur les fonctionnelles linéaires Acta Mathematica. ,vol. 49, pp. 465- 497 ,(1926) , 10.1007/BF02564121
Peter Shi, Steve Wright, Higher integrability of the gradient in linear elasticity Mathematische Annalen. ,vol. 299, pp. 435- 448 ,(1994) , 10.1007/BF01459793
Russell M. Brown, Irina Mitrea, The mixed problem for the Lamé system in a class of Lipschitz domains Journal of Differential Equations. ,vol. 246, pp. 2577- 2589 ,(2009) , 10.1016/J.JDE.2009.01.008
Hendrik Vogt, On the constant in real Riesz-Thorin interpolation Archiv der Mathematik. ,vol. 71, pp. 112- 114 ,(1998) , 10.1007/S000130050241
R. Haller-Dintelmann, C. Meyer, J. Rehberg, A. Schiela, Hölder Continuity and Optimal Control for Nonsmooth Elliptic Problems Applied Mathematics and Optimization. ,vol. 60, pp. 397- 428 ,(2009) , 10.1007/S00245-009-9077-X
Roland Herzog, Christian Meyer, Gerd Wachsmuth, C-Stationarity for Optimal Control of Static Plasticity with Linear Kinematic Hardening Siam Journal on Control and Optimization. ,vol. 50, pp. 3052- 3082 ,(2012) , 10.1137/100809325