屈服准则线性化及其工程应用（英文）
出版时间:
2018-05
版次:
1
ISBN:
9787502477677
定价:
68.00
装帧:
平装
开本:
16开
纸张:
胶版纸
页数:
266页
字数:
342千字
正文语种:
英语
1人买过
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It is believed that the analytical method based on a linear yield criterion may be taken as a new method to solve the difficulty in obtaining analytical solutions of mechanical problems， which is the origin intension of the creation of this book. This proposal of this new method can give us an important instruction， that is： when it is impossible to pursue a real solution， then it is a sensible strategy to pursue an approximate analytical solution. This thought can transform many unsolved problems into solvable problems， and can make many difficult problems become easy.
In this book， the pfastic deformation behavior is elaborated from the description of variables， to the establishment of mechanical equations， including various linear yield criteria， and to the solution of the established mechanical eqrurtions for engineering problems. In order to make the readers to understand the meaning of this book deeply； great efforts have been made to clarify physical concepts definitely， to derivate mechanical equations rigorously， and to show the engiueering application concisely. 1 Fundamental Theory of Stress and Strain
1．1 Summation convention
1．1．1 Free subscript
1．1．2 Dumb subscript
1．1．3 Differential-form summation convection
1．2 Stress analysis
1．2．1 Concept ofstress
1．2．2 Stress state and its description
1．2．3 Stress tensor and deviatoric stress tensor
1．3 Strain analysis
1．3．1 Engineering strain and true strain
1．3．2 Geometric equation
1．3．3 Strain tensor and its decomposition
References
2 Mechanical Equation and Boundary Condition
2．1 Equilibrium differential equation
2．2 Deformation compatibility equation
2．3 Classicalyield criteria
2．3．1 Concept of yield criterion
2．3．2 Tresca yield criterion
2．3．3 Mises yield criterion
2．3．4 Geometrical illustration of Tresca and Mises yield criteria
2．3．5 Twin shear stress yield criterion
2．3．6 Unified yield criterion
2．4 Constitutive equation
2．4．1 Incremental strain theory
2．4．2 Total strain theory
2．4．3 Equivalent stress and equivalent strain
……
3 Analytical Principle of Plastic Mechanics
4 Analytical Methods of Plastic Mechanics
5 Development of Linearly Approximated Yield Criteria Based on Geometrical Parameters
6 Development of Linearly Approximated Yield Criteria Based on Mathematical Average Methods
7 The Linearhation Solution Methods and Their Applications on the Linut Analysis of Pipeline and Sheet
8 Application of the Replace Method of Specific Plastic Work Rate on 2D Metal Forming
9 Analysis of 3D Metal Forming by the Replace Method of Specific Plastic Work Rate
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内容简介:
It is believed that the analytical method based on a linear yield criterion may be taken as a new method to solve the difficulty in obtaining analytical solutions of mechanical problems， which is the origin intension of the creation of this book. This proposal of this new method can give us an important instruction， that is： when it is impossible to pursue a real solution， then it is a sensible strategy to pursue an approximate analytical solution. This thought can transform many unsolved problems into solvable problems， and can make many difficult problems become easy.
In this book， the pfastic deformation behavior is elaborated from the description of variables， to the establishment of mechanical equations， including various linear yield criteria， and to the solution of the established mechanical eqrurtions for engineering problems. In order to make the readers to understand the meaning of this book deeply； great efforts have been made to clarify physical concepts definitely， to derivate mechanical equations rigorously， and to show the engiueering application concisely.
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目录:
1 Fundamental Theory of Stress and Strain
1．1 Summation convention
1．1．1 Free subscript
1．1．2 Dumb subscript
1．1．3 Differential-form summation convection
1．2 Stress analysis
1．2．1 Concept ofstress
1．2．2 Stress state and its description
1．2．3 Stress tensor and deviatoric stress tensor
1．3 Strain analysis
1．3．1 Engineering strain and true strain
1．3．2 Geometric equation
1．3．3 Strain tensor and its decomposition
References
2 Mechanical Equation and Boundary Condition
2．1 Equilibrium differential equation
2．2 Deformation compatibility equation
2．3 Classicalyield criteria
2．3．1 Concept of yield criterion
2．3．2 Tresca yield criterion
2．3．3 Mises yield criterion
2．3．4 Geometrical illustration of Tresca and Mises yield criteria
2．3．5 Twin shear stress yield criterion
2．3．6 Unified yield criterion
2．4 Constitutive equation
2．4．1 Incremental strain theory
2．4．2 Total strain theory
2．4．3 Equivalent stress and equivalent strain
……
3 Analytical Principle of Plastic Mechanics
4 Analytical Methods of Plastic Mechanics
5 Development of Linearly Approximated Yield Criteria Based on Geometrical Parameters
6 Development of Linearly Approximated Yield Criteria Based on Mathematical Average Methods
7 The Linearhation Solution Methods and Their Applications on the Linut Analysis of Pipeline and Sheet
8 Application of the Replace Method of Specific Plastic Work Rate on 2D Metal Forming
9 Analysis of 3D Metal Forming by the Replace Method of Specific Plastic Work Rate
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