A super‐element for crack analysis in the time domain

By Chongmin Song. 2004

86 citations recorded by the source corpus.

A super‐element for the dynamic analysis of two‐dimensional crack problems is developed based on the scaled boundary finite‐element method. The boundary of the super‐element containing a crack tip is discretized with line elements. The governing partial differential equations formulated in the scaled boundary co‐ordinates are transformed to ordinary differential equations in the frequency domain by applying the Galerkin's weighted residual technique. The displacements in the radial direction from the crack tip to a point on the boundary are solved analytically without any a priori assumption. The scaled boundary finite‐element formulation leads to symmetric static stiffness and mass matrices. The super‐element can be coupled seamlessly with standard finite elements. The transient response is evaluated directly in the time domain using a standard time‐integration scheme. The stress field, including the singularity around the crack tip, is expressed semi‐analytically. The stress intensity factors are evaluated without directly addressing singular functions, as the limit in their definitions is performed analytically. Copyright © 2004 John Wiley & Sons, Ltd.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/4f8fbd0548708fd8d740c5b6ed62182d6cd9f120

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

A review of the scaled boundary finite element method for two-dimensional linear elastic fracture mechanics (2017, methodology): “Since its inception, it has been applied to evaluate the free-edge stresses around holes in laminates [4], to compute the orders of singularity and stress intensity factors for multi-material plates under static loading and dynamic loading [58], and to predict the directions of cracks emerging from ”
A scaled boundary polygon formulation for elasto-plastic analyses (2014, background): “unbounded media [35, 36, 37, 38], diffusion [39], fluid-structure interaction [40], fracture [41, 42, 43, 44, 45, 46, 47], acoustics [48] electro-statics [49] and thin plates [50].”
The scaled boundary finite element method in structural dynamics (2009, methodology): “factors are determined by employing a super-element based on the scaled boundary finite element formulation [27].”