Author: Kwang Soo Kim
Publisher:
ISBN:
Category : Fracture mechanics
Languages : en
Pages : 96
Book Description
Elastodynamic Analysis of a Propagating Finite Crack
Author: Kwang Soo Kim
Publisher:
ISBN:
Category : Fracture mechanics
Languages : en
Pages : 96
Book Description
Publisher:
ISBN:
Category : Fracture mechanics
Languages : en
Pages : 96
Book Description
Elastodynamic Analysis of a Propagating Finite Crack in a Micropolar Elastic Solid
Author: Seog-young Han
Publisher:
ISBN:
Category : Micropolar elasticity
Languages : en
Pages : 204
Book Description
A dynamic propagation of a finite crack of opening mode in a micropolar elastic solid was investigated. By using an integral transform method, a pair of twodimensional singular integral equations governing stress and couple stress was formulated in terms of the displacement transverse to the crack, macro- and microrotations, and microinertia. These integral equations are solved numerically. Solutions for dynamic stress intensity and couple stress intensity factors are obtained by utilizing the values of the strengths of the square root singularities in the macro-rotation and the gradient of the micro-rotation at the crack tips. The motion of the crack tips and the load on the crack surface are not prescribed in the formulation of the problem. Therefore, the method of solution is applicable to nonuniform rates of propagation of a crack under an arbitrary time-dependent load on the crack surface. The behavior of the micro-rotation field, and the dynamic couple stress intensity factor, which are influenced by microinertia, in addition to the dynamic stress intensity factor, are examined. The classical elasticity solution for the corresponding problem follows as a special case of our solution when the micropolar moduli are dropped.
Publisher:
ISBN:
Category : Micropolar elasticity
Languages : en
Pages : 204
Book Description
A dynamic propagation of a finite crack of opening mode in a micropolar elastic solid was investigated. By using an integral transform method, a pair of twodimensional singular integral equations governing stress and couple stress was formulated in terms of the displacement transverse to the crack, macro- and microrotations, and microinertia. These integral equations are solved numerically. Solutions for dynamic stress intensity and couple stress intensity factors are obtained by utilizing the values of the strengths of the square root singularities in the macro-rotation and the gradient of the micro-rotation at the crack tips. The motion of the crack tips and the load on the crack surface are not prescribed in the formulation of the problem. Therefore, the method of solution is applicable to nonuniform rates of propagation of a crack under an arbitrary time-dependent load on the crack surface. The behavior of the micro-rotation field, and the dynamic couple stress intensity factor, which are influenced by microinertia, in addition to the dynamic stress intensity factor, are examined. The classical elasticity solution for the corresponding problem follows as a special case of our solution when the micropolar moduli are dropped.
Elastodynamic Analysis of a Propagating Finite Crack
Author: Kwang Soo Kim
Publisher:
ISBN:
Category : Fracture mechanics
Languages : en
Pages : 88
Book Description
Publisher:
ISBN:
Category : Fracture mechanics
Languages : en
Pages : 88
Book Description
Elastodynamic Crack Problems
Author: George C. Sih
Publisher: Springer Science & Business Media
ISBN: 9789028601567
Category : Science
Languages : en
Pages : 410
Book Description
Publisher: Springer Science & Business Media
ISBN: 9789028601567
Category : Science
Languages : en
Pages : 410
Book Description
Scientific and Technical Aerospace Reports
Scientific and Technical Aerospace Reports
Methods of Analysis and Solutions of Crack Problems
Author: George C. Sih
Publisher: Springer Science & Business Media
ISBN: 9789001798604
Category : Science
Languages : en
Pages : 578
Book Description
It is weH known that the traditional failure criteria cannot adequately explain failures which occur at a nominal stress level considerably lower than the ultimate strength of the material. The current procedure for predicting the safe loads or safe useful life of a structural member has been evolved around the discipline oflinear fracture mechanics. This approach introduces the concept of a crack extension force which can be used to rank materials in some order of fracture resistance. The idea is to determine the largest crack that a material will tolerate without failure. Laboratory methods for characterizing the fracture toughness of many engineering materials are now available. While these test data are useful for providing some rough guidance in the choice of materials, it is not clear how they could be used in the design of a structure. The understanding of the relationship between laboratory tests and fracture design of structures is, to say the least, deficient. Fracture mechanics is presently at astandstill until the basic problems of scaling from laboratory models to fuH size structures and mixed mode crack propagation are resolved. The answers to these questions require some basic understanding ofthe theory and will not be found by testing more specimens. The current theory of fracture is inadequate for many reasons. First of aH it can only treat idealized problems where the applied load must be directed normal to the crack plane.
Publisher: Springer Science & Business Media
ISBN: 9789001798604
Category : Science
Languages : en
Pages : 578
Book Description
It is weH known that the traditional failure criteria cannot adequately explain failures which occur at a nominal stress level considerably lower than the ultimate strength of the material. The current procedure for predicting the safe loads or safe useful life of a structural member has been evolved around the discipline oflinear fracture mechanics. This approach introduces the concept of a crack extension force which can be used to rank materials in some order of fracture resistance. The idea is to determine the largest crack that a material will tolerate without failure. Laboratory methods for characterizing the fracture toughness of many engineering materials are now available. While these test data are useful for providing some rough guidance in the choice of materials, it is not clear how they could be used in the design of a structure. The understanding of the relationship between laboratory tests and fracture design of structures is, to say the least, deficient. Fracture mechanics is presently at astandstill until the basic problems of scaling from laboratory models to fuH size structures and mixed mode crack propagation are resolved. The answers to these questions require some basic understanding ofthe theory and will not be found by testing more specimens. The current theory of fracture is inadequate for many reasons. First of aH it can only treat idealized problems where the applied load must be directed normal to the crack plane.
Monthly Catalog of United States Government Publications
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1320
Book Description
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1320
Book Description
Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements
Author: George D. Manolis
Publisher: Springer
ISBN: 3319452061
Category : Technology & Engineering
Languages : en
Pages : 301
Book Description
This book focuses on the mathematical potential and computational efficiency of the Boundary Element Method (BEM) for modeling seismic wave propagation in either continuous or discrete inhomogeneous elastic/viscoelastic, isotropic/anisotropic media containing multiple cavities, cracks, inclusions and surface topography. BEM models may take into account the entire seismic wave path from the seismic source through the geological deposits all the way up to the local site under consideration. The general presentation of the theoretical basis of elastodynamics for inhomogeneous and heterogeneous continua in the first part is followed by the analytical derivation of fundamental solutions and Green's functions for the governing field equations by the usage of Fourier and Radon transforms. The numerical implementation of the BEM is for antiplane in the second part as well as for plane strain boundary value problems in the third part. Verification studies and parametric analysis appear throughout the book, as do both recent references and seminal ones from the past. Since the background of the authors is in solid mechanics and mathematical physics, the presented BEM formulations are valid for many areas such as civil engineering, geophysics, material science and all others concerning elastic wave propagation through inhomogeneous and heterogeneous media. The material presented in this book is suitable for self-study. The book is written at a level suitable for advanced undergraduates or beginning graduate students in solid mechanics, computational mechanics and fracture mechanics.
Publisher: Springer
ISBN: 3319452061
Category : Technology & Engineering
Languages : en
Pages : 301
Book Description
This book focuses on the mathematical potential and computational efficiency of the Boundary Element Method (BEM) for modeling seismic wave propagation in either continuous or discrete inhomogeneous elastic/viscoelastic, isotropic/anisotropic media containing multiple cavities, cracks, inclusions and surface topography. BEM models may take into account the entire seismic wave path from the seismic source through the geological deposits all the way up to the local site under consideration. The general presentation of the theoretical basis of elastodynamics for inhomogeneous and heterogeneous continua in the first part is followed by the analytical derivation of fundamental solutions and Green's functions for the governing field equations by the usage of Fourier and Radon transforms. The numerical implementation of the BEM is for antiplane in the second part as well as for plane strain boundary value problems in the third part. Verification studies and parametric analysis appear throughout the book, as do both recent references and seminal ones from the past. Since the background of the authors is in solid mechanics and mathematical physics, the presented BEM formulations are valid for many areas such as civil engineering, geophysics, material science and all others concerning elastic wave propagation through inhomogeneous and heterogeneous media. The material presented in this book is suitable for self-study. The book is written at a level suitable for advanced undergraduates or beginning graduate students in solid mechanics, computational mechanics and fracture mechanics.
Federal Information Processing Standards Publication
Author:
Publisher:
ISBN:
Category : Public administration
Languages : en
Pages : 1228
Book Description
Publisher:
ISBN:
Category : Public administration
Languages : en
Pages : 1228
Book Description