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Penalty functions in constrained variational principles for element free Galerkin method

✍ Scribed by Luis Gavete; Juan J. Benito; Santiago Falcón; Antonio Ruiz

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
801 KB
Volume
19
Category
Article
ISSN
0997-7538

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✦ Synopsis

An improved formulation of the Element Free Galerkin (EFG) method is presented in this paper. In the Element Free Galerkin method, enforcement of essential boundary conditions is awkward as the approximations do not satisfy the Kronecker delta condition. A method of generating admissible approximations to the essential boundary conditions is given, using a constrained variational principle with a penalty function. Several examples of Laplace equation are solved and compared with analytical solutions and flux Lagrange multipliers, to demonstrate the performance of the method. A parametric study comparing three different weight functions is made. A guide on the EFG/penalisation method is given, considering the possibility of using irregular grids with a variable domain of influence for each point.

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✍ P.H. Wen; M.H. Aliabadi 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 779 KB

intensity factor Mixed-mode fracture Radial basis function interpolation Moving least-square method a b s t r a c t A variational meshfree method has been developed to evaluate the stress intensity factors of mixed mode crack problems. The stiffness is evaluated by regular domain integrals and shape