The study of phononic materials and structures is an emerging discipline that lies at the
crossroads of vibration and acoustics engineering and condensed matter physics. Broadly …

The rapid growth of deep learning research, including within the field of computational
mechanics, has resulted in an extensive and diverse body of literature. To help researchers …

Homogenizing the constitutive response of materials with nonlinear and history-dependent
behavior at the microscale is particularly challenging. In this case, the only option is …

Many multiscale finite element formulations can become computationally expensive
because they rely on detailed models of the element's internal displacement field. This issue …

This article presents an efficient reduced formulation of the Bloch Operator Finite Element
method to calculate complex band structures of periodic waveguides. The use of a Bloch …

The use of machine learning techniques to homogenize the effective behavior of arbitrary
microstructures has been shown to be not only efficient but also accurate. In a recent work …

An improved smoothed particle hydrodynamics (SPH) method is proposed to simulate the
failure process of rock samples with pre-existing cracks under compression loads. By …

Uniform finite element meshes are usually used to discrete problem domain in the numerical
manifold method. This strategy provides high interpolation accuracy but is ineffective when …

A variety of Reduced-Order Modelling (ROM) techniques have been developed for the
Wave/Finite Element (WFE) Framework. However most of these techniques are not …

By employing the first order shear deformation plate theory and the Bloch–Floquet theorem,
the dispersion equation of flexural wave in the periodic composite plate structure with …