STRUCTURAL SHAPE OPTIMIZATION OF 3D NEARLY-INCOMPRESSIBLE HYPERELASTICITY PROBLEMS

Authors

  • CLÁUDIO A.C. SILVA
  • MARCO L. BITTENCOURT

Abstract

THIS PAPER PRESENTS SHAPE OPTIMIZATION OF NEARLY INCOMPRESSIBLE HYPERELASTIC STRUCTURAL PROBLEMS. INITIALLY, THE MOONEY-RIVLIN HYPERELASTIC MODEL IS REVIEWED. THE ¯NITE ELEMENT SOLUTION USING A PERTURBED LAGRANGIAN DESCRIPTION AND THE NEWTON-RAPHSON METHOD ARE DISCUSSED. THE PROJECTED PRESSURE METHOD IS USED TO SOLVE THE MIXED PROBLEM USING A STANDARD ONE-¯ELD ¯NITE ELEMENT PROCEDURE. THE EXPRESSIONS OF SHAPE SENSITIVITY ARE PRESENTED. FINALLY, THE SHAPE OPTIMIZATION OF AN ENGINE MOUNT GEOMETRY IS CONSIDERED USING 2D AND 3D FINITE ELEMENT MODELS.

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Published

2008-06-01

Issue

Vol. 5 No. 2 (2008)

Section

Articles

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