Naslov
Mixed Meshless Local Petrov Galerkin (MLPG) Collocation Method for Modeling of Heterogeneous Materials

Autori
Jalušić, Boris ; Sorić, Jurica ; Jarak, Tomislav

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Proceedings of the 11th World Congress on Computational Mechanics (WCCM XI) / Onate, E. ; Oliver, X. ; Huerta, A. - Barcelona : International Center for Numerical Methods in Engineering (CIMNE), 2014

ISBN
978-84-942844-7-2

Skup
11th World Congress on Computational Mechanics (WCCM XI)

Mjesto i datum
Barcelona, Španjolska, 20.07.2014. - 25.07.2014

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Meshless Collocation Method; Mixed Approach; Heterogeneous Materials

Sažetak
In recent time, a class of numerical approaches known as meshless methods has attracted considerable attention due to its potential to overcome time-consuming mesh generation and element distortion problems associated with the finite element method. Despite the recent popularity of meshless methods in the scientific community, high numerical costs associated with the calculation of meshless approximation functions still represent serious obstacles. The mixed Meshless Local Petrov-Galerkin (MLPG) Method paradigm represents an efficient remedy for these deficiencies, and has been successfully applied for solving certain demanding engineering problems. In the present contribution, the MLPG formulation based on the mixed approach, which has been efficiently used for the analysis of homogeneous structures is extended for the modeling of deformation responses of heterogeneous materials. Heterogeneous structures consist of various homogeneous subdomains which are discretized by grid points, where equilibrium equations may be imposed. Independent variables are approximated using meshless interpolation functions in such a way that each subdomain is treated as a separate problem. The solution for the entire domain is then obtained by gluing the solutions for displacements and tractions along the interfaces of the subdomains by enforcing the corresponding continuity conditions. Here the collocation meshless method will be applied, which may be considered as a special case of the MLPG approach [4], where the Dirac delta function is employed as the test function. The linear elastic boundary value problem for each subdomain is discretized by using the independent interpolations of both displacements and stress components. The interpolating moving least squares (IMLS) approximation scheme [2] and the radial point interpolation method [5] will be applied. They possess the interpolation property at the nodes, which enables a simple enforcement of the essential boundary conditions (BCs). In order to derive the final closed system of discretized governing equations with the displacements as unknown variables, the nodal stress values are expressed in terms of the displacement components using the kinematic and constitutive relations analogous to the formulation in [2].

Izvorni jezik
Engleski

Znanstvena područja
Strojarstvo

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