A local finite element strain smoothing process also known as smoothed finite element method (SFEM) is proposed for the resultant eight-node solid shell element applied in non linear analysis. Only displacement degrees of freedom are used to define the element kinematics. The strain smoothing process of membrane and bending terms is presented in a local Cartesian basis and results in modified strain operators which contain the product of element shape functions and normal vectors to the edges of the resultant quadrilateral element in the shell mid-surface. Cartesian derivatives of shape functions are thus no more required and the integration is performed on the resultant element along the edges of the subdividing cells located in the midsurface of the initial eight-node hexahedral element.
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