| Title |
Intrinsic Enrichment of Moving Least Squares Finite Difference Method for Solving Elastic Crack Problems |
| Keywords |
elastic crack;moving least squares;finite difference method;stress singularity;near-tip functions;Taylor polynomial;intrinsically enriched;stress intensity factor;탄성균열;이동최소제곱;유한차분법;응력 특이성;선단주변함수;Taylor 다항식;내적확장;응력확대계수 |
| Abstract |
This study presents a moving least squares (MLS) finite difference method for solving elastic crack problems with stress singularity at the crack tip. Near-tip functions are intrinsically employed in the MLS approximation to model near-tip field inducing singularity in stress field. employment of the functions does not lose the merit of the MLS Taylor polynomial approximation which approximates the derivatives of a function without actual differentiating process. In the formulation of crack problem, computational efficiency is considerably improved by taking the strong formulation instead of weak formulation involving time consuming numerical quadrature Difference equations are constructed on the nodes distributed in computational domain. Numerical experiments for crack problems show that the intrinsically enriched MLS finite difference method can sharply capture the singular behavior of near-tip stress and accurately evaluate stress intensity factors. |