Journal ArticleDOI
Creep relaxation of stress around a crack tip
TLDR
In this article, a plane-strain shallow Mode I tensile edge crack under constant applied load and creep exponents of 3 and 10 was calculated, using the elastic stress intensity factor with the Riedel-Rice approximation.About:
This article is published in International Journal of Solids and Structures.The article was published on 1981-01-01. It has received 179 citations till now. The article focuses on the topics: Crack tip opening displacement & Crack closure.read more
Citations
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A tangent modulus method for rate dependent solids
TL;DR: In this article, a one step forward gradient time integration scheme is developed which leads to a tangent stiffness type method for rate dependent solids, and numerical examples are presented showing application of the method to material behaviors ranging from elastic nonlinearly viscous to nearly rate independent.
Journal ArticleDOI
Crack tip and associated domain integrals from momentum and energy balance
Brian Moran,C. F. Shih +1 more
TL;DR: A unified derivation of crack tip flux integrals and their associated domain representations is laid out in this article using a general balance statement as the starting point, and complementary integrals which are valid for general material response and arbitrary crack tip motion are obtained.
Journal ArticleDOI
A general treatment of crack tip contour integrals
Brian Moran,C. F. Shih +1 more
TL;DR: In this paper, the authors derived an expression for the associated crack tip flux integral given a general balance statement and discussed the domain integral method as an alternative means of representing crack tip integrals and showed that the method may be interpreted as a particular form of Signorini's theorem of stress means.
Journal ArticleDOI
Crack tip fields under non‐steady creep conditions—i. estimates of the amplitude of the fields
Robert A. Ainsworth,P. J. Budden +1 more
TL;DR: In this paper, the amplitude of the near-tip stress and strain rate fields near the tip of a stationary crack can be described by the singular fields of Hutchinson, Rice and Rosengren for power-law creeping materials.
Journal ArticleDOI
Higher-order asymptotic crack-tip fields in a power-law creeping material
Yuh J. Chao,X.K. Zhu,L. Zhang +2 more
TL;DR: Yang et al. as mentioned in this paper developed a three-term solution near a crack tip in creeping materials only with two parameters: C(t)-integral and a constraint parameter A2(t).
References
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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
Mixed finite element methods—reduced and selective integration techniques: a unification of concepts
D. S. Malkus,Thomas J. R. Hughes +1 more
TL;DR: The equivalence of certain classes of mixed finite element methods with displacement methods which employ reduced and selective integration techniques is established, which enables one to obtain the accuracy of the mixed formulation without incurring the additional computational expense engendered by the auxiliary field of the Mixed method.
Journal ArticleDOI
Triangular quarter-point elements as elastic and perfectly-plastic crack tip elements
TL;DR: Triangular and prismatic quadratic isoparametric elements, formed by collapsing one side and placing the mid-side node near the crack tip at the quarter point, are shown to embody the (1/√r) singularity of elastic fracture mechanics and the ( 1/r)-singularity of perfect plasticity as discussed by the authors.
Journal ArticleDOI
Visco-plasticity—plasticity and creep in elastic solids—a unified numerical solution approach
O. C. Zienkiewicz,I. C. Cormeau +1 more
TL;DR: In this article, the viscoplastic model is used to generate plasticity solutions in a simple manner when stationary conditions are reached and, at the other extreme, can reproduce standard creep phenomena.
Related Papers (5)
Plane strain deformation near a crack tip in a power-law hardening material
James R. Rice,G. F. Rosengren +1 more