The performance of an 8-noded hexahedron C1* element in elasticity is investigated. Three translational displacements and their derivatives as strain in each direction are considered as degrees of freedom (d.o.f.’s) at each node. The geometric mapping is enforced using a C0 element with no derivative as nodal d.o.f.’s . The stiffness matrix of the element is also computed using a transformation...

This paper is devoted to the computational nonlinear stochastic homogenization of a hyperelastic heterogeneous microstructure using a non-concurrent multiscale approach. The geometry of the microstructure is random. The non-concurrent multiscale approach for micro-macro nonlinear mechanics is extended to the stochastic case. Since the non-concurrent multiscale approach is based on the use of a ...

Like other structures, shallow domes have imperfections from the prescribed values obtained by specifications during the construction process. Specifications define some tolerance values for imperfections. Despite consideration of these values, the critical load of a dome varies for each imperfection pattern. So the reliability plays an important role in domes safety. Theoretical evaluation pro...