AN ENRICHED MESHLESS FINITE VOLUME METHOD FOR THE MODELING OF MATERIAL DISCONTINUITY PROBLEMS IN 2D ELASTICITY

Authors

  • ABDULLAH DAVOUDI-KIA DEPARTMENT OF CIVIL ENGINEERING, UNIVERSITY OF GUILAN, P.O. BOX 3756, RASHT, IRAN
  • NOSRAT-ALLAH FALLAH DEPARTMENT OF CIVIL ENGINEERING, UNIVERSITY OF GUILAN, P.O. BOX 3756, RASHT, IRAN / FACULTY OF CIVIL ENGINEERING, BABOL NOSHIRVANI UNIVERSITY OF TECHNOLOGY, BABOL, IRAN

Abstract

A 2D FORMULATION FOR INCORPORATING MATERIAL DISCONTINUITIES INTO THE MESHLESS FINITE VOLUME METHOD IS PROPOSED. IN THE PROPOSED FORMULATION, THE MOVING LEAST SQUARES APPROXIMATION SPACE IS ENRICHED BY LOCAL CONTINUOUS FUNCTIONS THAT CONTAIN DISCONTINUITY IN THE FIRST DERIVATIVE AT THE LOCATION OF THE MATERIAL INTERFACES. THE FORMULATION UTILIZES SPACE-FILLING VORONOI-SHAPED FINITE VO-LUMES IN ORDER TO MORE INTELLIGENTLY MODEL IRREGULAR GEOMETRIES. NUMERICAL EXPERIMENTS FOR ELASTOSTATIC PROBLEMS IN HETEROGENEOUS MEDIA ARE PRESENTED. IT IS DEMONSTRATED THAT THE ENRICHED MESHLESS FINITE VOLUME METHOD COULD ALLEVIATE THE EXPECTING OSCILLATIONS IN DERIVATIVE FIELDS AROUND THE MATERIAL DISCONTINUITIES. THE RESULTS HAVE REVEALED THE POTENTIAL OF THE PROPOSED METHOD IN STUDYING THE MECHANICS OF HETEROGENEOUS MEDIA WITH COMPLEX MICRO-STRUCTURES.

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Published

2018-03-20

Issue

Vol. 15 No. 2 (2018)

Section

Articles

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