Numerical studies of loss of ellipticity near singularities in an elastic material-Reference-Cited by-同舟云学术

Numerical studies of loss of ellipticity near singularities in an elastic material

Published:1988 Issue:3 Volume:19 Page:213-239
ISSN:0374-3535
Container-title:Journal of Elasticity
language:en
Short-container-title:J Elasticity

Author:

Silling S. A.

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mechanics of Materials,General Materials Science

Link

http://link.springer.com/content/pdf/10.1007/BF00045617.pdf

Reference24 articles.

1. J.A.H. Hult and F.A. McClintock: Elastic-plastic stress and strain distribution around sharp notches under repeated shear, Proceedings of the Ninth International Congress of Applied Mechanics, Brussels, Belgium 8 (1956) 51?58.

2. J.R. Rice: Stresses due to a sharp notch in a work-hardening elastic-plastic material loaded by longitudinal shear, Journal of Applied Mechanics 34 (1967) 287?298.

3. J.C. Amazigo: Fully plastic crack in an infinite body under anti-plane shear, International Journal of Solids and Structures 10 (1974) 1003?1015.

4. J.K. Knowles: The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids, International Journal of Fracture 13 (1977) 611?639.

5. J.K. Knowles and Eli Sternberg: Discontinuous deformation gradients near the tip of a crack in finite anti-plane shear: an example, Journal of Elasticity 10 (1980) 81?110.

Cited by 37 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Deformation induced loss of ellipticity in an anisotropic circular cylindrical tube;Journal of Engineering Mathematics;2017-05-26

2. The Exponentiated Hencky-Logarithmic Strain Energy. Part I: Constitutive Issues and Rank-One Convexity;Journal of Elasticity;2015-03-27

3. Asymptotic mechanical fields at the tip of a mode I crack in rubber-like solids;International Journal of Solids and Structures;2014-05

4. An asymptotic analysis of dynamic crack growth in rubber;Engineering Fracture Mechanics;2011-12

5. Calculation of autocatalytic phase transformation zones in cracked and uncracked zirconia ceramics;International Journal of Fracture;2002