Abstract Introducing a crack in an elastic plate is challenging from the mathematical point of view and relevant within engineering context evaluating strength reliability structures. Accordingly, multitude associated works available to date, emanating both applied mathematics mechanics communities. Although considering same problem, given complex potentials prove be different, revealing variou...

Small-scale cohesive-zone models based on potential functions are expected to be consistent with the important features of linear-elastic fracture mechanics (LEFM). These include an inverse-square-root K-field ahead a crack, normal and shear stresses being proportional mode-I mode-II stress-intensity factors, KI KII, work done against crack-tip tractions equal KI2+KII2?E?, where E? is appropria...

Ionomers are interesting due to their applications in coatings, adhesives, films and packaging materials. A study of the underlying mechanisms for fracture in ionomers is consequently of both practical as well as theoretical interest. In this study, we employ high speed imaging coupled with uniaxial extensional rheometry to delineate the mechanics leading to the brittle fracture of ionomer melt...

The method of fundamental solutions is applied to the computation of stress intensity factors in linear elastic fracture mechanics. The displacements are approximated by linear combinations of the fundamental solutions of the Cauchy–Navier equations of elasticity and the leading terms for the displacement near the crack tip. Two algorithms are developed, one using a single domain and one using ...

In fracture mechanics and failure analysis, cracked media energy and consequently stress intensity factors (SIFs) play a crucial and significant role. Based on linear elastic fracture mechanics (LEFM), the SIFs and energy of cracked media may be estimated. This study presents the novel modification of decoupled scaled boundary finite element method (DSBFEM) to model cracked media. In this metho...

In this paper, 2D boundary element stress analysis is carried out to obtain the T-stress for multiple internal edge cracks in thick-walled cylinders for a wide range of cylinder radius ratios and relative crack depth. The T-stress, together with the stress intensity factor K, provides amore reliable two-parameter prediction of fracture in linear elastic fracture mecha...

1 The Effect of Cohesive-Law Parameters on Mixed-Mode Fracture R. B. Sills and M. D. Thouless Department of Mechanical Engineering Department of Materials Science & Engineering University of Michigan Ann Arbor, MI 48109-2125, USA Abstract Cohesive-zone models of fracture provide a framework that allows a smooth transition between a strength-based approach to fracture and an energy-based approac...

This study numerically predicts the failure scenario of a cracked concrete gravity dam through a push-over nonlinear analysis. The mixed-mode Linear Elastic Fracture Mechanics (LEFM) was employed using the extended finite element method (XFEM). The dam base was considered to be fully fixed without any foundation effects. The hydrostatic pressure on the dam's upstream face was increased incremen...