TY  - EJOU
AU  - Papacharalampopoulos, A.  
AU  - Karlis, G. F.  
AU  - Charalambopoulos, A. 
AU  - Polyzos, D.  

TI  - BEM Solutions for 2D and 3D Dynamic Problems in Mindlin's Strain Gradient Theory of Elasticity
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2010
VL  - 58
IS  - 1
SN  - 1526-1506

AB  - A Boundary Element Method (BEM) for solving two (2D) and three dimensional (3D) dynamic problems in materials with microstructural effects is presented. The analysis is performed in the frequency domain and in the context of Mindlin's Form II gradient elastic theory. The fundamental solution of the differential equation of motion is explicitly derived for both 2D and 3D problems. The integral representation of the problem, consisting of two boundary integral equations, one for displacements and the other for its normal derivative is exploited for the proposed BEM formulation. The global boundary of the analyzed domain is discretized into quadratic line and quadrilateral elements for 2D and 3D problems, respectively. Representative 2D and 3D numerical examples are presented to illustrate the method, demonstrate its accuracy and efficiency and assess the gradient effect on the response.
KW  - Microstructure
KW  -  Microintertia
KW  -  Gradient Elasticity
KW  -  Mindlin
KW  -  Fundamental Solution
KW  -  Dispersion
KW  -  BEM

DO  - 10.3970/cmes.2010.058.045