๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Nonlinear response of mode I crack on bimaterial interfaces

โœ Scribed by Hao Tian-hu

Publisher
Springer Netherlands
Year
1989
Tongue
English
Weight
152 KB
Volume
41
Category
Article
ISSN
1573-2673

No coin nor oath required. For personal study only.

โœฆ Synopsis

For an incompressible body, the Cartesian coordinates x i and yi correspond, respectively, to the initial and current configuration. A plane deformation of the body is represented by the mapping yi = x i +di

(1

where d is the displacement component. The deformation gradient is

and the Jacobian determinant for incompressible body is

As in [5,6], the in-plane behavior of an incompressible material, in plane strain, is essentially governed by its response to simple shear. In particular, any plane deformation of an incompressible body can always be decomposed locally into a rigid-body rotation followed, or preceded, by a simple shear [2]. The amount of this "effective load shear" k is ~YJ ~YJ i :4TzS ,-x Ux, .j = 1.2 (4) Now let us consider the constitutive law for an incompressible, isotropic

๐Ÿ“œ SIMILAR VOLUMES

Torsional impact response of a penny-sha
Torsional impact response of a penny-shaped crack lying on a bimaterial interface
โœ S. Ueda; Y. Shindo; A. Atsumi ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 489 KB

The torsional impact response of a penny-shaped crack lying on a bimaterial interface is considered in this study. Laplace and Hankel transforms are used to reduce the problem to the solution of a pair of dual integral equations. The solution to the dual integral equations is expressed in terms of a

Effects of three-dimensional constraint
Effects of three-dimensional constraint on cracks on bimaterial interfaces
โœ Shiwen Wang; Wanlin Guo; Yapen Shen ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 622 KB

An exact asymptotic analysis for a crack lying on the interface of two elastic-plastic materials is performed under three-dimensional stress constraint. Various combinations of the three-dimensional constraint factor T-~/T.2, the hardening exponent n~/n2 and the hardening coefficient ~t~/ct2 are con

On mode I and mode II energy release rat
On mode I and mode II energy release rates of an interface crack
โœ M. Toya ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 304 KB

The opening (mode I) and sliding (mode II) components of the energy that is released during an incremental extension of an interface crack between two different elastic materials are evaluated by the Irwin's crack closure method. Each component of the energies (G~ and G~) is expressed in terms of th

On the singularity of temperature gradie
On the singularity of temperature gradient near an inclined crack terminating at bimaterial interface
โœ Wen-Hwa Chen; Chin-Cheng Huang ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 262 KB

This paper deals with the singularity of temperature gradient near an inclined crack terminating at a bimaterial interface. The temperature field is solved by considering the continuity of temperature and heat flux at the interface and appropriate thermal boundary conditions on crack surfaces. The s