Naslov
Modeling of Deformation Responses Using Meshless Local Petrov-Galerkin (MLPG) Approach Based on Strain Gradient Elasticity

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

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

Izvornik
Proceedings of European Congress on Computational Methods in Applied Sciences and Engineering / ECCOMAS 2016 Congress Organizing Committee - Hersonissos, 2016

Skup
European Congress on Computational Methods in Applied Sciences and Engineering

Mjesto i datum
Hersonissos, Grčka, 05.06.2016. - 10.06.2016

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
mixed meshless collocation method; gradient elasticity

Sažetak
Nowadays, a variety of research topics are dedicated to the use of non-classical theories in order to properly capture a number of effects such as the strain localization and material softening phenomena in continuum. The numerical solution of fourth-order elliptic problems arising in non-classical gradient theories of material behavior requires a high order of interpolation functions. Therefore, displacement- based Finite Element Method (FEM) formulations for solving this type of problems involve very complicated shape functions which require large number of nodal degrees of freedom. Hence, the mentioned formulations are often considered as numerically inefficient. In comparison to FEM the shape functions in meshless methods can easily be formulated with any order of continuity and with less number of unknowns per node. Thus, the meshless discretization approach is considered to be a good alternative to FEM procedures when modeling deformation responses using higher- order continuum theories. In this contribution, the Meshless Local Petrov Galerkin (MLPG) collocation method is utilized for the modeling of structures based on a strain gradient elasticity formulation. Herein, the Aifantis theory with only one unknown microstructural parameter is used. Furthermore, the fourth-order equilibrium equations are solved as an uncoupled sequence of two sets of second- order differential equations (operator-split method). In order to improve the efficiency and lower the continuity requirements on the interpolation meshless functions, the mixed approach was utilized. The advantages of the used formulation are shown in a few numerical examples.

Izvorni jezik
Engleski

Znanstvena područja
Strojarstvo

POVEZANOST RADA