No abstract

A continuum-based design sensitivity analysis method for hyperelastic structures is presented. Analysis is performed using a meshless method, called the reproducing kernel particle method. Yeoh's energy density function is used to describe the hyperelastic structural behavior. The meshless method eliminates mesh distortion or entanglement encountered in using nite element analysis for large deformation structural analysis and structural shape design optimization. Both the adjoint variable and direct differentiation methods are developed for material and shape design variables. An in nitely long rubber tube, a two-dimensional rubber band, and an engine mount are examples used to demonstrate the feasibility and accuracy of the method. Nomenclature= moment matrix at x m n (x) = moment of order n at x t 0 S i j = second Piola-Kirchhoff stress components 0 S i j = increments for stress components, t CD t 0 S i j ¡ t 0 S i j t 0 W = strain energy density function X = position of a material particle at initial con guration t x = position of a material particle at time t t 0 z = displacement vector referred to the original con guration,= interpolation function of particle X I w = generic performance measure t \ = physical domain at time t ( ) 0 = rst-order variation with respect to a material property design variable u P ( ) = total derivative with respect to a shape design variable

No abstract

No abstract

No abstract