STRUCTURAL SHAPE OPTIMIZATION OF 3D NEARLY-INCOMPRESSIBLE HYPERELASTICITY PROBLEMS
AbstractTHIS PAPER PRESENTS SHAPE OPTIMIZATION OF NEARLY INCOMPRESSIBLE HYPERELASTIC STRUCTURAL PROBLEMS. INITIALLY, THE MOONEY-RIVLIN HYPERELASTIC MODEL IS REVIEWED. THE Â¯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-Â¯ELD Â¯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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