Minimizing crack energy release rate by topology optimization

Energy minimizing brittle crack propagation II

On Global Energy Release Rate of a Permeable Crack in a Piezoelectric Ceramic

A permeable crack model is proposed to analyze crack growth in a piezoelectric ceramic. In this model, a permeable crack is modeled as a vanishing thin, finite dimension, rectangular slit with dielectric medium inside. A first-order approximation solution is derived in terms of the slit height, h0 . The main contribution of this paper is that the newly proposed permeable crack model reveals tha...

Isogeometric Topology Optimization by Using Optimality Criteria and Implicit Function

A new method for structural topology optimization is introduced which employs the Isogeometric Analysis (IA) method. In this approach, an implicit function is constructed over the whole domain by Non-Uniform Rational B-Spline (NURBS) basis functions which are also used for creating the geometry and the surface of solution of the elasticity problem. Inspiration of the level set method zero level...

ISOGEOMETRIC TOPOLOGY OPTIMIZATION OF STRUCTURES BY USING MMA

The Isogeometric Analysis (IA) method is applied for structural topology optimization instead of the finite element method. For this purpose, the material density is considered as a continuous function throughout the design domain and approximated by the Non-Uniform Rational B-Spline (NURBS) basis functions. The coordinates of control points which are also used for constructing the density func...

Principle of Maximum Energy Dissipation Rate in Crack Dynamics

THE PRINCIPLE of maximum energy dissipation rate is introduced as an energy criterion for crack dynamics. That allows us to explain observed limiting crack speeds in brittle materials, and to complete the crack dynamics formulation. The upper limits of the crack speed in perfectly elastic and elastic-plastic bodies are obtained. It is found that the theoretical maximum crack speed in an isotrop...