微尺度塑性力学(Micro-scale Plasticity Mechanics)(英文)(“十一五”国家重点图书)

Micro-scale Plasticity Mechanics=微尺度塑性力学
微尺度塑性力学(Micro-scale Plasticity Mechanics)(英文)(“十一五”国家重点图书)
作者:陈少华 王自强(编著)






  Microscale plasticity mechanics was developed in 1990s due to the developments in micro-design, micro-manufacturing and microelectronic packaging. It is a new field that attracts many researchers, interests in the world.
  Many experiments have found that materials display strong size effects when the characteristic length scale associated with nonuniform plastic deformation is on the order of microns. The classical plasticity theories can not predict the size effects of material behavior at the micron scale since there is no length scales including in their constitutive relations. Apparently, some microscopic understanding of plasticity is necessary in order to accurately describe deformation at small scales. These considerations have motivated Fleck and Hutchinson to develop a phenomenological theory of strain gradient plasticity intended for applications to materials and structures whose dimension controlling plastic deformation falls roughly within a range from a tenth of a micron to ten microns. After that, a lot of scholars make further contributions to this area with the considerations to propose theories with more clearly physical backgrounds and more simple frameworks.
  In this book, we introduce the experimental backgrounds of the microscale mechanics with the help of many typical micro-scale experiments. After that, we systematically introduce several typical microscale plasticity theories and their applications in explaining the experimental results. Lastly, microscale plasticity theories are applied in the fracture mechanics field to explain the cleavage fracture in the scope of micro-meters near the crack tip. This book includes not only the achievements of many foreign scholars, but also those of the authors themselves.
  Many scientists in China contribute to this area, such as Prof.K.C.Hwang of Tsinghua University, Prof.G.K.Hu of Beijing Institute of Technology, etc. Due to the limitations of the length of this book, we did not focus on their achievements. The readers can consult them face to face if it is necessary.
  Chapters 1~5 and 8 are written by Shaohua Chen; Chapters 6~7 are written by Tzuchiang Wang.
  SC would give his gratitude to his wife, Miss WenLing, for her collections and scanning of the electronic photos in Chapters 1~5 and 8.
  The work of the two authors is supported by NSFC.

                  Shaohua Chen & Tzuchiang Wang
                    March 29, 2009 in Beijing


Preface to the USTC Alumni’s Series


1 Introduction

1.1 Brief introduction of experimental observations

1.2 An overview of strain gradient plasticity theory

1.3 Micro-polar theory

2 Micro-scale experiments

2.1 Torsion experiments on copper wires

2.2 Micro-meter thin-beam bending

2.3 Micro-meter particle reinforced metal matrix composite

2.4 Micro and nano-indentation

3 Theories proposed by Fleck and Hutchinson

3.1 Couple stress theory (CS)

3.2 Strain gradient (SG) theory proposed by Fleck and Hutchinson (1997)

3.3 Torsion of thin wires

3.4 Bending of thin beams

3.5 Micro-indentation hardness

3.6 Size effects in particle reinforced metal matrix composites

4 MSG and TNT theories

4.1 A law for strain gradient plasticity

4.2 Deformation theory of MSG

4.3 Bending of thin beams

4.4 Torsion of thin wires

4.5 Micro-indentation hardness

4.6 Size effects in the particle-reinforced metal matrix composites

4.7 Taylor-based non-local theory of plasticity (TNT)

5 C-W strain gradient plasticity theory

5.1 A hardening law for strain gradient plasticity theory

5.2 C-W couple-stress strain gradient plasticity theory

5.3 Verification of C-W couple-stress strain gradient plasticity theory

5.4 C-W strain gradient plasticity theory

5.5 Thin wire torsion and ultra-thin beam bend

5.6 Micro-indentation hardness

5.7 Size effects in particle reinforced metal-matrix composites

6 Strain curl theory

6.1 The continuum theory of dislocation

6.2 Plastic strain curl theory

6.3 Finite element simulation of micro-indentation tests

7 Strain gradient theory based on energy no-local model

7.1 Classical non-local theory of elasticity

7.2 A new framework of non-local theory

7.3 Constitutive equations of strain gradient theory

7.4 Thin wire torsion and ultra-thin beam bend

7.5 Analysis of micro-indentation

8 Cleavage fracture near crack tip

8.1 Steady-state crack growth and work of fracture for solids characterized by strain gradient plasticity

8.2 Fracture in MSG plasticity

8.3 Application of C-W strain gradient plasticity on the cleavage fracture of crack tip

8.4 Prediction of strain-curl theory on plane-strain crack tip field

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