On the failure of hyperbolicity in elasticity

✍ Scribed by Michail Zak

• Publisher: Springer Netherlands
• Year: 1982
• Tongue: English
• Weight: 429 KB
• Volume: 12
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00042217

✦ Synopsis

The failure of hyperbolicity leading to the instability as an ill-posedness of the Cauchy problem is investigated for elasticity. The criteria for that instability are derived in terms of the potential energy as a function of the strain invariants. The theory is illustrated by examples.