Conservation laws in the dynamics of rods

✍ Scribed by John H. Maddocks; Donald J. Dichmann

• Publisher: Springer Netherlands
• Year: 1994
• Tongue: English
• Weight: 572 KB
• Volume: 34
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00042427

✦ Synopsis

Conservation laws and associated integrals of motion for the dynamics of rods are derived. The classic conservation laws are those of total linear and angular momentum, and, for hyperelastic rods, conservation of energy. It will here be shown that an additional conservation law arises in each of two cases. The first case is that of uniform, hyperelastic rods, the second is that of a class of transversely isotropic rods. AMS(MOS) 73C50, 73K05.