Dynamic Fracture Mechanics
Covering a wide variety of topics in dynamic fracture mechanics, this volume presents state-of-the-art experimental techniques and theoretical analysis on dynamic fracture in standard and exotic materials.
TABLE OF CONTENTS Dynamic Fracture Mechanics
Chapter 7: Dynamic Fracture in Graded Materials
Arun Shukla Simon Ostrach Professor and Chair,
Dynamic Photomechanics Laboratory, Department of Mechanical Engineering, University of Rhode Island
Dynamic Photomechanics Laboratory, Department of Mechanical Engineering, University of Rhode Island
Dynamic Photomechanics Laboratory, Department of Mechanical Engineering, University of Rhode Island
Kingston,, Rl 02881. shuklaa@egr.uri.edu
Nitesh Jain Research Assistant, Dynamic Photomechanics Laboratory, Department of Mechanical Engineering, University of Rhode Island
Kingston,, Rl 02881
The dynamic crack propagation in materials with varying properties, i.e., functionally graded materials is presented. First, an elastodynamic solution for a propagating crack inclined to the direction of property variation is introduced. Crack tip stress, strain and displacement fields are obtained through an asymptotic analysis coupled with displacement potential approach. Next, a systematic theoretical analysis is provided to incorporate the effect of transient nature of growing crack-tip on the crack-tip stress, strain and displacement fields. The analysis revealed that crack tip stress fields retain the inverse square root singularity and only the higher order terms in the expansion are influenced by material inhomogeneity. Using these stress, strain and displacement fields, contours of constant maximum shear stress, constant first stress invariant and constant in- plane displacements are generated and the effect of nonhomogeneity and transient nature of crack tip on these contours is discussed.
1 Introduction
The combination of several materials in one component offers, in many cases, significant improvements to its functional performance. Optimally, material properties throughout a component should be tailored to its specific application. This requires combinations of properties that are unattainable with a single homogeneous material. Functionally graded materials (FGMs) offer an advantageous means of combining materials, providing a spatial variation in composition and properties, as an...
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