Ebook: Models and Phenomena in Fracture Mechanics

Modern concepts of fracture mechanics are presented consecutively. Homogeneous and structured models, where microstructure plays an essential role, are considered for fracture and phase transition. Firstly, one-dimensional models are comprehensively studied allowing one to retrace the main phenomena without technical difficulties. More realistic models are then used as linear and nonlinear elastic mediums, such as elastic plates with crack closure, viscoelastic discrete lattices, chains and cohesive zone models. Also considered are, crack origination, equilibrium, slow and fast growth. Sub- and super critical crack speed regimes and transition from one regime to another are studied. Fourier transform and related topics, including a version of the Wiener-Hopf technique dealing with originals are presented, as well as required topics from wave theory. This book is targeted at researchers of materials and structures, also at lecturers and advanced students.

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Modern concepts of fracture mechanics are presented consecutively. Homogeneous and structured models, where microstructure plays an essential role, are considered for fracture and phase transition. Firstly, one-dimensional models are comprehensively studied allowing one to retrace the main phenomena without technical difficulties. More realistic models are then used as linear and nonlinear elastic mediums, such as elastic plates with crack closure, viscoelastic discrete lattices, chains and cohesive zone models. Also considered are, crack origination, equilibrium, slow and fast growth. Sub- and super critical crack speed regimes and transition from one regime to another are studied. Fourier transform and related topics, including a version of the Wiener-Hopf technique dealing with originals are presented, as well as required topics from wave theory. This book is targeted at researchers of materials and structures, also at lecturers and advanced students.

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Modern concepts of fracture mechanics are presented consecutively. Homogeneous and structured models, where microstructure plays an essential role, are considered for fracture and phase transition. Firstly, one-dimensional models are comprehensively studied allowing one to retrace the main phenomena without technical difficulties. More realistic models are then used as linear and nonlinear elastic mediums, such as elastic plates with crack closure, viscoelastic discrete lattices, chains and cohesive zone models. Also considered are, crack origination, equilibrium, slow and fast growth. Sub- and super critical crack speed regimes and transition from one regime to another are studied. Fourier transform and related topics, including a version of the Wiener-Hopf technique dealing with originals are presented, as well as required topics from wave theory. This book is targeted at researchers of materials and structures, also at lecturers and advanced students.
Content:
Front Matter....Pages I-XVII
Introduction....Pages 1-7
Fundamentals and Basic Relations....Pages 9-46
Fourier Transform and Related Topics....Pages 47-69
Waves....Pages 71-110
One-dimensional Models....Pages 111-142
Static Cracks in a Linearly Elastic Body....Pages 143-203
Nonlinear Elastic Body....Pages 205-228
Viscoelastic Fracture....Pages 229-248
Elastic-Plastic Fracture....Pages 249-296
Dynamic Fracture in a Homogeneous Elastic Medium....Pages 297-357
Cracks in a Bending Plate....Pages 359-388
The Square-Cell Lattice....Pages 389-443
Triangular-Cell Elastic Lattice....Pages 445-479
Phase Transition Waves....Pages 481-515
Dynamic Amplification Factor in Fracture and Phase Transition....Pages 517-557
Back Matter....Pages 559-579

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Modern concepts of fracture mechanics are presented consecutively. Homogeneous and structured models, where microstructure plays an essential role, are considered for fracture and phase transition. Firstly, one-dimensional models are comprehensively studied allowing one to retrace the main phenomena without technical difficulties. More realistic models are then used as linear and nonlinear elastic mediums, such as elastic plates with crack closure, viscoelastic discrete lattices, chains and cohesive zone models. Also considered are, crack origination, equilibrium, slow and fast growth. Sub- and super critical crack speed regimes and transition from one regime to another are studied. Fourier transform and related topics, including a version of the Wiener-Hopf technique dealing with originals are presented, as well as required topics from wave theory. This book is targeted at researchers of materials and structures, also at lecturers and advanced students.
Content:
Front Matter....Pages I-XVII
Introduction....Pages 1-7
Fundamentals and Basic Relations....Pages 9-46
Fourier Transform and Related Topics....Pages 47-69
Waves....Pages 71-110
One-dimensional Models....Pages 111-142
Static Cracks in a Linearly Elastic Body....Pages 143-203
Nonlinear Elastic Body....Pages 205-228
Viscoelastic Fracture....Pages 229-248
Elastic-Plastic Fracture....Pages 249-296
Dynamic Fracture in a Homogeneous Elastic Medium....Pages 297-357
Cracks in a Bending Plate....Pages 359-388
The Square-Cell Lattice....Pages 389-443
Triangular-Cell Elastic Lattice....Pages 445-479
Phase Transition Waves....Pages 481-515
Dynamic Amplification Factor in Fracture and Phase Transition....Pages 517-557
Back Matter....Pages 559-579
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