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    Tailoring of Mooney-Rivlin Parameters for Optimal Stress Distribution during Bending and Radial Expansion of Cylinders and Spheres
    Romesh Batra1;
    1DEPARTMENT OF BIOMEDICAL ENGINEERING & MECHANICS , VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY, Virginia, United States;
    PAPER: 264/Multiscale/Plenary (Oral)
    SCHEDULED: 17:50/Tue. 29 Nov. 2022/Similan 1



    ABSTRACT:
    A challenging issue in solid mechanics is to optimally designing lightweight structures. One way to achieve this is to have either one or more components of the stress tensor or the effective stress or strain uniform throughout the structure with the choice depending upon the adopted failure criterion. Having succeeded in doing so for incompressible and heterogeneous Hookean materials we now explore the possibility of tailoring in the radial direction the two moduli for the Mooney-Rivlin material for achieving this.

    References:
    R.C. Batra, Material Tailoring and Universal Relations for Axisymmetric Deformations of Funtionally Graded Rubberlike Cylinders and Spheres, Mathematics and Mechanics of Solids, 16, 729-738, 2011.

    R.C. Batra, Material tailoring in three-dimensional flexural deformations of functionally graded material beams, Composite Structures, 259, Art. No. 113232, 2021.