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Authors

  • KEYONG WANG 333 LONGTENG RD, SHANGHAI 201620
  • PEICHAO LI 333 LONGTENG RD, SHANGHAI 201620
  • D.Z. WANG

Keywords:

ORTHOTROPIC POTENTIAL PROBLEM, INHOMOGENEOUS TERM, TREFFTZ FINITE ELEMENT METHOD, MODIFIED FUNCTIONAL, DUAL RECIPROCITY METHOD

Abstract

A SIMPLE TREFFTZ-TYPE FINITE ELEMENT METHOD (TFEM) IS PROPOSED FOR SOLVING NONLINEAR POTENTIAL PROBLEMS IN ORTHOTROPIC MEDIA. THE INHOMOGENEITY, WHICH IS INDUCED BY INTERNAL SOURCES, MAY PRODUCE DOMAIN INTEGRALS IN THE STANDARD TREFFTZ FINITE ELEMENT FORMULATION. THIS WILL MAKE THE ADVANTAGE ‘ONLY-BOUNDARY INTEGRATION’ OF TFEM LOSE ENTIRELY. TO OVERCOME THIS DIFFICULTY, THE DUAL RECIPROCITY METHOD (DRM) IS EMPLOYED TO TRANSFER THE ORIGINAL PROBLEM INTO A HOMOGENEOUS ONE. THEN, A PARTICULAR SOLUTION (PS) TREFFTZ-TYPE FINITE ELEMENT MODEL IS ESTABLISHED BASED ON THE MODIFIED FUNCTIONAL. THREE BENCHMARK EXAMPLES ARE INVESTIGATED BY THE PROPOSED APPROACH AND COMPARED WITH THE ANALYTICAL SOLUTIONS.

Author Biographies

KEYONG WANG, 333 LONGTENG RD, SHANGHAI 201620

COLLEGE OF MECHANICAL ENGINEERING, SHANGHAI UNIVERSITY OF ENGINEERING SCIENCE

PEICHAO LI, 333 LONGTENG RD, SHANGHAI 201620

COLLEGE OF MECHANICAL ENGINEERING, SHANGHAI UNIVERSITY OF ENGINEERING SCIENCE

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Published

2014-11-04

Issue

Vol. 11 No. 14 (2014)

Section

Articles

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