Abstract A continuum theory of pantographic lattices, based on second-grade elasticity, is presented. The proposed model able to describe the mechanical behavior a type material structure made up multiple layers sheets connected with third family fibers. Thus, these materials are characterized by an orthogonal pattern fibers that can bend, stretch and twist. Numerical experiments illustrate pre...

We introduce a domain decomposition structure-preserving method based on hybrid mimetic spectral element for three-dimensional linear elasticity problems in curvilinear conforming structured meshes. The is an equilibrium which satisfies pointwise of forces. established through hybridization first allows inter-element normal stress discontinuity and then enforces the continuity using Lagrange mu...

We investigate three-dimensional problems in solid mechanics with stochastic loading or material properties. To solve these problems, we use a spectral expansion of the solution and random inputs based on Askey-type orthogonal polynomials in terms of independent, identically distributed (i.i.d) random variables. A Galerkin procedure using these types of expansions, the generalized Polynomial Ch...