An integral bound for the strain energy in nonlinear elasticity in terms of the boundary displacements

✍ Scribed by Shlomo Breuer; Joseph J. Roseman

• Publisher: Springer Netherlands
• Year: 1979
• Tongue: English
• Weight: 269 KB
• Volume: 9
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00040977

✦ Synopsis

For the displacement boundary value problem in nonlinear elastostatics with zero body force, an integral bound for the strain energy is obtained in terms of the L2-norms of the given boundary displacements and their tangential derivatives (assumed sufficiently small). The constants involved depend upon the strain energy density function and upon the geometry of the domain.