Influences of non-singular stresses on plane-stress near-tip fields for pressure-sensitive materials and applications to transformation toughened ceramics
Z. E. A. Ben-Aoun,Jwo Pan +1 more
TLDR
In this paper, the effects of non-singular stress (T stress) on the mode I near-tip fields lbr elastic perfectly plastic pressure-sensitive materials under plane-stress and small-scale yielding conditions were investigated.Abstract:
In this paper, we investigate the effects of the non-singular stress (T stress) on the mode I near-tip fields lbr elastic perfectly plastic pressure-sensitive materials under plane-stress and small-scale yielding conditions. The T stress is the normal stress parallel to the crack faces. The yield criterion for pressure-sensitive materials is described by a linear combination of the effective stress and the hydrostatic stress. Plastic dilatancy is introduced by the normality flow rule. The results of our finite element computations based on a two-parameter boundary layer formulation show that the total angular span of the plastic sectors of the near-tip fields increases with increasing T stress for materials with moderately la~rge pressure sensitivity. The T stress also has significant effects on the sizes and shapes of the plastic zones. The height of the plastic zone increases substantially as the T stress increases, especially for materials with large pressure sensitivity. When the plastic strains are considered to be finite as lbr transformation toughened ceramics, the results of our finite element computations indicate that the phase transformation zones for strong transformation ceramics with large pressure sensitivity can be approximated by those lbr elastic-plastic materials with no limit on plastic strains. When the T stress and the stress intensity factor K are prescribed in the two-parameter boundary layer formulation to simulate the crack-tip constraint condition tor a single-edge notch bend specimen of zirconia ceramics, our finite element computation shows a spear shape of the phase transformation zone which agrees well with the corresponding experimental observation.read more
Citations
More filters
Journal ArticleDOI
A review of T-stress and its effects in fracture mechanics
TL;DR: An overview of past research on T-stress is presented in this article, where the authors discuss different phenomena associated with T-stress: crack path stability, isochromatic fringes pattern, plastic zone influence and constraint parameter.
Journal ArticleDOI
A macroscopic constitutive law for porous solids with pressure-sensitive matrices and its implications to plastic flow localization
Hyun-Yong Jeong,Jwo Pan +1 more
TL;DR: In this paper, a macroscopic yield criterion for porous solids with pressure-sensitive matrices was obtained by generalizing Gurson's yield criterion with consideration of the hydrostatic yield stress for a spherical thick-walled shell and by fitting the finite element results of a voided cube.
Journal ArticleDOI
Effects of yield surface shape and round-off vertex on crack-tip fields for pressure-sensitive materials
W.J. Chang,Jwo Pan +1 more
TL;DR: In this paper, a modified Drucker-Prager yield criterion was proposed to obtain asymptotic crack-tip fields for both power-law hardening and perfectly-plastic pressuresensitive materials under plane strain conditions, where the vertex is rounded off and replaced by a curved yield surface which is based on a quadratic function of the effective stress and the mean stress.
Journal ArticleDOI
T-effect for the interaction problem of an interface macrocrack with a near-tip microvoid
Han Jian-Jun,Chen Yiheng +1 more
TL;DR: The analysis of the T-effect in the problem of an interface macrocrack interacting with a microvoid in the process zone of the main crack tip was studied in this article.
References
More filters
Journal ArticleDOI
A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks
TL;DR: In this paper, an integral is exhibited which has the same value for all paths surrounding a class of notches in two-dimensional deformation fields of linear or non-linear elastic materials.
Journal ArticleDOI
Analysis of Stresses and Strains Near the End of a Crack Traversing a Plate
Journal ArticleDOI
Soil mechanics and plastic analysis or limit design
D. C. Drucker,W. Prager +1 more
Journal ArticleDOI
Plane strain deformation near a crack tip in a power-law hardening material
James R. Rice,G. F. Rosengren +1 more
TL;DR: In this paper, the authors investigated the C rack-tip strain singularities with the aid of an energy line integral exhibiting path independence for all contours surrounding a crack tip in a two-dimensional deformation field of an elastic material (or elastic/plastic material treated by a deformation theory).
Journal ArticleDOI
On the Stress Distribution at the Base of a Stationary Crack
TL;DR: In this article, it was shown that at the base of the crack in the direction of its prolongation, the principal stresses are equal, thus tending toward a two-dimensional (two-dimensional) hydrostatic tension.
Related Papers (5)
Effects of yield surface shape and round-off vertex on crack-tip fields for pressure-sensitive materials
W.J. Chang,Jwo Pan +1 more
Influence of Porosity on Plane Strain Tensile Crack-Tip Stress Fields in Elastic-Plastic Materials: Part II
W. J. Drugan,Y. Miao +1 more