Journal ArticleDOI
Weight function for an elliptic crack in an infinite medium. I. Normal loading
A. Roy,T. K. Saha +1 more
TLDR
In this paper, an integral equation method has been used to derive the crack opening displacement of an elliptic crack in an infinite elastic medium subjected to a concentrated pair of point force loading at an arbitrary location on the crack faces.Abstract:
A recently developed integral equation method has been used to derive the crack opening displacement of an elliptic crack in an infinite elastic medium subjected to a concentrated pair of point force loading at an arbitrary location on the crack faces. These results have been used to obtain the stress intensity factor along the elliptic crack front which corresponds to the weight function for an elliptic crack under normal loading. Analytical expression of the weight function can be used to derive the stress intensity factor for both polynomial loading as well as non-polynomial loading.read more
Citations
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Identification and Remediation of Systematic Error Patterns in Subtraction
TL;DR: The authors investigated 90 elementary teach- ers' ability to identify two systematic error patterns in subtraction and then prescribe an instructional focus and found that more than half of the teachers chose to address basic subtraction facts first during instruction regardless of error type.
Journal ArticleDOI
Integrating Reservoir Geomechanics with Multiple Fracture Propagation and Proppant Placement
TL;DR: In this paper, a coupled finite-volume (FV)/finite-area (FA) model was proposed to simulate the propagation of multiple hydraulically driven fractures in two and three dimensions at the wellbore and pad scale.
Journal ArticleDOI
Determination of approximate point load weight functions for embedded elliptical cracks
Xin Wang,Grzegorz Glinka +1 more
TL;DR: In this paper, a general mathematical form of point load weight function is proposed based on the properties of weight functions and the available weight functions for two-dimensional cracks for the calculation of stress intensity factors in embedded elliptical cracks.
Journal ArticleDOI
DDSim: A hierarchical, probabilistic, multiscale damage and durability simulation system – Part I: Methodology and Level I
TL;DR: DDSim as mentioned in this paper is a next-generation damage and durability simulator with a hierarchical, multiscale, "search and simulate" strategy, which consists of three levels: initial, reduced order, conservative screening, based on a linear finite element analysis of the uncracked component, to determine the most life-limiting locations for intrinsic material flaws.
References
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Journal ArticleDOI
Method of translations for a mode I elliptic crack in an infinite body. Part II: expansion of the fundamental solution into a series
TL;DR: In this article, the authors considered the consequences of the application of the theory of crack translation in a nonuniform stress field to the analysis of an elliptic crack in an infinite body, developed in Part I of the present paper.
Journal ArticleDOI
A method of constructing weighting functions for a circular crack
TL;DR: In this article, a general formulation is used to consider a static problem for a linearly elastic body with internal circular crack of normal separation, and the corresponding weighting function enabling a direct calculation to be made of the stress intensity factor (SIF) under arbitrary loading conditions is equal to the product of the axisymmetric weighting functions and Poisson's kernel.
Journal ArticleDOI
Computation of shear mode weight functions for circular and elliptical cracks
Y. Zhou,T.-L. Sham +1 more
TL;DR: In this article, a special finite element method for determining the Fourier coefficients of the stress intensity factor for circular and elliptical cracks is presented. And a special series is proposed to represent the computed crack face weight functions for elliptical and circular cracks.