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
The First-Order Variation of the Displacement Field Due to Geometrical Changes in an Elliptical Crack
TL;DR: In this paper, the authors derived analytical expressions for the derivatives of the crack surface displacement field, with respect to the lengths of the major and minor axes, respectively, of an elliptical crack embedded in an infinite isotropic elastic solid, when the crack faces are subjected to arbitrary tractions.
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An elliptic crack in an elastic half-space
Arabinda Roy,M. Chatterjee +1 more
TL;DR: In this paper, the authors considered the effect of the free surface on the stress distribution of an elliptic crack aligned parallel to the free boundary and at a depth h below it.
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Method of translations for a mode I elliptic crack in an infinite body. Part I: Polynomial loading
TL;DR: In this article, a method for determining the displacement of the elliptic crack faces in an infinite body and consequently stress intensity factors under the action of polynomial loading is proposed, which is based on the Rice integral formula which relates the stress and displacement fields for two different states of a body.
Journal ArticleDOI
A numerical mode I weight function for calculating stress intensity factors of three-dimensional cracked bodies
TL;DR: In this paper, a numerical mode I weight function was extended for application to three-dimensional cracked bodies, which makes use of the stiffness derivative method as part of finite element calculations.