Advances in Conservation Laws and Energy Release Rates: Theoretical Treatments and Applications / Edition 1

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Overview

This book summarizes two significant tendencies for application of conservation laws and energy release rates. The first is to establish a bridge between some famous invariant integrals and microcrack damage descriptions. The second is the direct extension from the understandings established in Fracture Mechanics for conventional materials to those for functional materials. In the first point it discusses the vanishing nature for both components of the Jk-integral vector when the closed contour encloses all discontinuities completely. Both mathematical manipulations and numerical examinations are given. Thus the M-integral and the L-integral are independent of coordinate shifts and, more significantly, the M-integral presents a new description for the damage level of a microcracking brittle solid. In the second point it discusses the direct extension from the basic understandings established in Linear Elastic Fracture Mechanics to those for functional materials, e.g., piezoelectric ceramics. Owing to the mechanical and electric coupling, some new insights of energy release rates are discussed in detail.

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Editorial Reviews

From The Critics
Chen (engineering and mechanics, Xi'an Jiaotong University) summarizes two tendencies for the application of conservation laws and energy release rates. The first is to connect invariant integrals with microcrack damage descriptions. The second is the application of structural mechanics to functional materials. In the first case, Chen discusses the vanishing nature for both components of the Jk-integral vector when the closed contour encloses all discontinuities completely. Both mathematical manipulations and numerical examinations are given. In the second case, the book discusses the direct extension from the basic understandings established in linear elastic fracture mechanics to those for functional materials, including piezoelectric ceramics. Annotation c. Book News, Inc., Portland, OR
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Product Details

  • ISBN-13: 9781402005008
  • Publisher: Springer Netherlands
  • Publication date: 3/31/2002
  • Edition description: 2002
  • Edition number: 1
  • Pages: 320
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.75 (d)

Table of Contents

List of Figures. List of Tables. Preface. Acknowledgments. 1. Historical Review and Fundamentals. 2. Conservation Laws in Brittle Solids. 3.The Projected Conservation Law of JK Vector in Microcrack Shielding Problems. 4. Application of the Conservation Laws in Metal/Ceramic Bimaterials. 5. Macrocrack Microcrack Interaction in Dissimilar Anisotropic Materials. 6. Macrocrack Microcrack Interaction in Piezoelectric Materials. 7. Microcrack Damage in Piezoelectric Materials. 8. Some Other Developments of the Conservation Laws and Energy Release Rates.

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