Asymptotic finite-strain thin-plate theory for elastic solids

Finite Element Thin Plate

Thin plate splines have been used successfully to model curves and surfaces. A new application is in data mining where they are used to model interaction terms. These interaction splines break the \curse of di-mensionality" by reducing the high-dimensional nonparametric regression problem to the determination of a set of interdependent surfaces. However , the determination of the corresponding ...

On Rate Principles for Finite Strain Analysis of Elastic and Inelastic Nonlinear Solids

Finite Element Thin Plate Splines

Asymptotic Analysis of Growing Plane Strain Tensile Cracks in Elastic-ideally Plastic Solids

AN EXACT asymptotic analysis is presented of the stress and deformation fields near the tip of a quasistatically advancing plane strain tensile crack in an elastic-ideally plastic solid. In contrast to previous approximate analyses, no assumptions which reduce the yield condition, n priori, to the form of constant inplane principal shear stress near the crack tip are made, and the analysis is v...

An implicit finite element method for elastic solids in contact

This work focuses on the simulation of mechanical contact between nonlinearly elastic objects such as the components of the human body. The computation of the reaction forces that act on the contact surfaces (contact forces) is the key for designing a reliable contact handling algorithm. In traditional methods, contact forces are often defined as discontinuous functions of deformation, which le...