On failure of the complementing condition and nonuniqueness in linear elastostatics

✍ Scribed by Henry C. Simpson; Scott J. Spector

• Publisher: Springer Netherlands
• Year: 1985
• Tongue: English
• Weight: 163 KB
• Volume: 15
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00041996

✦ Synopsis

Cf. Knops and Payne [7], pp. 63-65. The result is due to Muskhelisvili [10] and Hill [5]. ** Thus the assertion of Marsden and Hughes [8], that the traction boundary condition always satisfies the complementing condition, is incorrect (without additional assumptions). An assumption ruling out infinite Poisson's ratios is (of course) very reasonable. *** The failure of the complementing condition at these values of the Lam6 moduli was first noticed by Thompson [14].