Conservation laws in linear elasticity based upon divergence transformations

✍ Scribed by T. J. Delph

• Publisher: Springer Netherlands
• Year: 1982
• Tongue: English
• Weight: 525 KB
• Volume: 12
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00042211

✦ Synopsis

The existence of conservation laws in linear elasticity based upon divergence transformations of the Lagrangian density function is investigated. It is found that there exist a set of conservation laws which correspond to infinitesimal homogeneous perturbations of the strain and velocity fields. These conservation laws have a unique feature not shared by other conservation laws in linear elasticity in that they contain an arbitrary free parameter.