In this paper, an enhanced Virtual Element Method (VEM) formulation is proposed for plane elasticity. It based on the improvement of strain representation within element, without altering degree displacement interpolating functions element boundary. The idea to fully exploit polygonal elements with a high number sides, peculiar VEM feature, characterized by many degrees freedom boundary, even i...

Periodic elasticity problem is attractive subject and important from the theoretical and practical viewpoints. In this paper, we propose a fundamental solution method for elasticity problems of planes with one-dimensional periodic structure. The fundamental solution method [4, 15] is a numerical solver for partial differential equation problems and is widely used in science and engineering, esp...

We numerically study the phase structure of two types of triangulated spherical surface models, which includes an in-plane shear energy in the Hamiltonian, and we found that the phase structure of the models is considerably influenced by the presence of the in-plane shear elasticity. The models undergo a first-order collapsing transition and a first-order (or second-order) transition of surface...