On Simple Formulations of Weakly-Singular Traction {\&} Displacement BIE, and Their Solutions through Petrov-Galerkin Approaches

By Z. D. Han, Satya N. Atluri. 2003

57 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/ac0a84964220142d3ec621fd0b92dd4e56178951

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

SGBEM (for Cracked Local Subdomain) -- FEM (for uncracked global Structure) Alternating Method for Analyzing 3D Surface Cracks and Their Fatigue-Growth (2002, methodology): “It should be pointed out that the simple formulation presented in Han and Atluri (2002, 2003) includes 700 Copyright c© 2002 Tech Science Press CMES, vol.3, no.6, pp.699-716, 2002 only the non-hypersingular kernel functions, which are based on the original work reported in Okada, Rayiyah and Atluri…”
A New Implementation of the Meshless Finite Volume Method, Through the MLPG "Mixed" Approach (2004, methodology): “(16) has the physical meaning that it represents the balance law of the local sub-domain Ωs, with the traction boundary conditions being enforced [Atluri (2004); Li, Shen, Han, and Atluri (2003)].”
Fracture & Fatigue Analyses: SGBEM-FEM or XFEM? Part 1: 2D Structures (2013, methodology): “A systematic procedure to develop weakly-singular symmetric Galerkin boundary integral equations was presented by [Han and Atluri (2003,2007)].”
Computational Methods in Engineering: A Variety ofPrimal & Mixed Methods, with Global & LocalInterpolations, for Well-Posed or Ill-Posed BCs (2014, methodology): “8 Trefftz method and method of fundamental solutions 2.8.1 General solutions of the differential equation, Trefftz method All the methods presented in the previous sections are based on the concept of weighted-residual weak-forms. Various global and local trial functions are made to satisfy the gove”