Journal ArticleDOI
Weight function for an elliptic crack in an infinite medium. I. Normal loading
A. Roy,T. K. Saha +1 more
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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
Some remarks on elastic crack-tip stress fields
TL;DR: In this paper, it was shown that if the displacement field and stress intensity factor are known as functions of crack length for any symmetrical load system acting on a linear elastic body in plane strain, then the stress intensity factors for any other symmetric load system whatsoever on the same body may be directly determined.
Journal Article
A novel principle for the computation of stress intensity factors
TL;DR: In this paper, a state of plane strain in a notched or cracked elastic domain under the action of boundary tractions is considered, and the stress intensity factor K at a root of a notch can be re presented in the form of a weighted average of the tractions.
Book ChapterDOI
Mechanics of Fracture
TL;DR: In this article, the theoretical strength of crystalline solids is derived based on idealised forms of atomic force-displacement curves, in which the force is defined as the differential with respect to distance of the interatomic or inter-ionic energy.