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Unified Strength Theory and Its Applications 2004 ed. [Kõva köide]

  • Formaat: Hardback, 412 pages, kõrgus x laius: 235x155 mm, kaal: 1730 g, XX, 412 p., 1 Hardback
  • Ilmumisaeg: 08-Jan-2004
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540437215
  • ISBN-13: 9783540437215
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Unified Strength Theory and Its Applications 2004 ed.Suurem pilt
  • Formaat: Hardback, 412 pages, kõrgus x laius: 235x155 mm, kaal: 1730 g, XX, 412 p., 1 Hardback
  • Ilmumisaeg: 08-Jan-2004
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540437215
  • ISBN-13: 9783540437215
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9783540437215.html
Märksõnad:
It has been ten years since I presented the paper entitled A new model and theory on yield and failure of materials under the complex stress state at the Sixth Conference on Mechanical Behaviour of Materials held at Kyoto, Japan in 1991. The proceedings edited by Jono and Inoue were published by Pergamon Press in 1991. At that conference Professor Murakami and I were invited to act as the chairperson and co-chairperson of a session, and I presented the paper at another session. Few days before the conference, I had given a seminar regarding the tw- shear strength theory and the unified strength theory at Nagoya Technological University. These were the first two presentations of the unified strength theory, although I had completed the research of the unified strength theory in 1990. The paper Twin-shear strength theory and its generalization was published in the English edition of Sciences in China, the top journal in China, in 1985. The th original generalized twin-shear strength theory was presented at the 16 International Theoretical and Applied Mechanics Congress held at Copenhagen in Denmark and MPA (MaterialPrüfungsAnstalt) at Stuttgart University, Germany in 1984. After this Congress I visited the MPA and School of Civil Engineering of Stuttgart University, and gave a seminar regarding the generalized twin-shear strength theory at MPA of Stuttgart University. Professor Otto Mohr (18351918) has had worked at the Stuttgart University. He was a very good professor, his lectures aroused great interest in his students.

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Springer Book Archives
1 Introduction
1(10)
1.1 Strength of Materials under Complex Stress States
1(3)
1.2 Definition of Strength Theory
4(1)
1.3 Significance and Development of Strength Theory
5(2)
1.4 Shape of the Limit Surface of Strength Theory
7(4)
2 Stress States of Elements
11(18)
2.1 Elements
11(1)
2.2 Stress at a Point: Stress Invariants
12(1)
2.3 Stress Deviatoric Tensor, Deviatoric Tensor Invariants
13(1)
2.4 Stresses on the Oblique Plane
14(4)
2.4.1 Stresses on the Oblique Plane
14(1)
2.4.2 Principal Shear Stresses
15(1)
2.4.3 Octahedral Shear Stress
16(2)
2.5 Hexahedron, Octahedron, Dodecahedron
18(2)
2.6 Stress Space
20(5)
2.6.1 Relationship between (σ1, σ2, σ3) and (x, y, z)
23(1)
2.6.2 Relationship between (σ1, σ2, σ3) and (ξ, r, theta)or(J2, τm, theta)23
23(2)
2.7 Stress State Parameters
25(3)
Summary
28(1)
3 Unified Yield Criteria
29(34)
3.1 Introduction
29(1)
3.2 General Behaviour of the Yield Function
30(3)
3.3 Yield Surface
33(1)
3.4 Mechanical Model of the Unified Yield Criterion
34(2)
3.5 Unified Yield Criterion
36(2)
3.6 Other Forms of the Unified Yield Criterion
38(1)
3.7 Special Cases of the Unified Yield Criterion
38(8)
3.7.1 Single-Shear Yield Criterion (b=0)
38(2)
3.7.2 New Yield Criterion (b=1/4)
40(1)
3.7.3 New Yield Criterion (b=1/2)
41(3)
3.7.4 New Yield Criterion (b=3/4)
44(1)
3.7.5 Twin-Shear Yield Criterion (b=1)
45(1)
3.8 Extension of the Unified Yield Criterion
46(4)
3.9 Nonconvex Yield Criterion (b less than 0 or b>1) 47
3.10 Unified Yield Criterion in the Plane Stress State
50(3)
3.11 Unified Yield Criterion in the σ - theta Stress State
53(2)
3.12 Examples
55(6)
Summary
61(1)
Problems
61(2)
4 Verification of the Yield Criterion
63(16)
4.1 Introduction
63(1)
4.2 Comparison of the Unified Yield Criterion with the General Behaviour of Yield Criterion
63(2)
4.3 Comparison of the Unified Yield Criterion with Experimental Data
65(4)
4.4 Comparison of the Yield Criteria with the Tests of Taylor and Quinney
69(1)
4.5 Comparison of the Yield Criteria with the Tests of Ivey
70(1)
4.6 Comparison of the Yield Criteria with the Tests of Winstone
71(3)
4.7 Comparison of the Yield Criteria with the Experimental Results of Ellyin
74(3)
Summary
77(2)
5 Extended Unified Yield Criterion
79(14)
5.1 Introduction
79(1)
5.2 Extended Unified Yield Criterion
80(1)
5.3 Special Cases of the Extended Unified Yield Criterion
81(5)
5.3.1 Extended Single-Shear Yield Criterion (Extended Tresca Yield Criterion)
81(1)
5.3.2 New Extended Yield Criterion (b=1/4)
82(1)
5.3.2 New Extended Yield Criterion (b=1/2, Linear Drucker-Prager Criterion)
83(1)
5.3.4 New Extended Yield Criterion (b=3/4)
84(1)
5.3.5 New Extended Yield Criterion (b=1, Extended Twin-Shear Yield Criterion)
85(1)
5.4 Yield Loci of the Extended Yield Criterion in the Meridian and Deviatoric Planes
86(3)
5.5 Quadratic Extended Unified Yield Criterion
89(1)
Summary
90(1)
Problems
90(3)
6 Basic Characteristics of Strength of Materials under Complex Stress
93(36)
6.1 Introduction
93(1)
6.2 Strength Difference Effect in Tension and Compression (SD effect)
93(2)
6.3 Effect of Hydrostatic Stress
95(5)
6.4 Effect of Normal Stress
100(3)
6.5 Research on the Effect of Intermediate Principal Stress
103(2)
6.6 Effects of the Intermediate Principal Stress in Metals
105(3)
6.7 Effects of the Intermediate Principal Stress in Rock
108(10)
6.8 Characteristics of the Effect of Intermediate Principal Stress in Rock
118(1)
6.9 Effects of the Intermediate Principal Stress in Concrete
119(6)
6.10 Engineering Applications of the Effect of Intermediate Principal Stress in Concrete
125(2)
6.11 Bounds of the Convex Strength Theories
127(1)
Summary
128(1)
7 Unified Strength Theory
129(46)
7.1 Introduction
129(1)
7.2 General Behaviour of Strength Theory
130(2)
7.3 Mechanical Model of the Unified Strength Theory
132(2)
7.4 Unified Strength Theory
134(3)
7.5 Other Formulations of the Unified Strength Theory
137(2)
7.5.1 In Terms of Stress Invariant F (I1, J2, theta, σt α)
137(1)
7.5.2 In Terms of Principal Stress and Cohesive Parameter F (σ 1, σ 2, σ 3, C0, φ)
137(1)
7.5.3 In Terms of Stress Invariant and Cohesive Parameter F(I1, J2, theta, C0, φ)
138(1)
7.5.4 In Terms of Principal Stresses and Compressive Strength Parameter F (σ 1, σ 2, σ 3, α, σ c)
138(1)
7.5.5 In Terms of Stress Invariant and Compressive Strength Parameter F (I1, J2, theta, α, σ c)
139(1)
7.6 Extension and Supplementation of Conclusions from the Unified Strength Theory
139(1)
7.7 Special Cases of the Unified Strength Theory
140(5)
7.7.1 Varying Parameter b
140(2)
7.7.2 Varying Parameter α
142(3)
7.8 Nonconvex Strength Theory (b less than 0 or b> 143
7.8.1 Nonconvex Strength Theory (b less than 0) 144
7.8.2 Nonconvex Strength Theory (b>1)
145(1)
7.8.3 Nonconvex yield criteria for α=1
146(1)
7.9 Limit Loci of the Unified Strength Theory in the π Plane
146(59)
7.9.1 Variation of the Unified Strength Theory with b
148(2)
7.9.2 Limit Locus of the Unified Strength Theory by Varying α
150(7)
7.10 Limit Surfaces of the Unified Strength Theory in Principal Stress Space
157(2)
7.11 Limit Loci of the Unified Strength Theory in Plane Stress State
159(4)
7.11.1 Variation of the Unified Strength Theory with b
160(2)
7.11.2 Limit Locus of the Unified Strength Theory by Varying α
162(1)
7.12 Limit Loci of the Unified Strength Theory under σ - τ Combined Stress State
163(2)
7.13 Unified Strength Theory in the Meridian Plane
165(2)
7.14 Generalizations of the Unified strength Theory
167(2)
7.15 Significance of the Unified Strength Theory
169(2)
Summary
171(1)
Problems
172(3)
8 Experimental Verification of Strength Theory
175(32)
8.1 Introduction
175(1)
8.2 Equipments for complex stress state experiments
175(6)
8.2.1 Experimental Equipments for Tension (Compression)-Torsion Stress States
176(1)
8.2.2 Biaxial Plane Experimental Equipments
176(1)
8.2.3 Equipment for Axisymmetrical Triaxial Experiments
177(1)
8.2.4 Equipment for True Triaxial Experiments
178(3)
8.3 Axial-loading and Torsion Experiments
181(2)
8.4 Experimental Verification of Strength Theory for Rock
183(7)
8.5 A Systematic Experiment on Rock under True Triaxial Stress
190(5)
8.5.1 Strength of Rock under High Pressure
190(1)
8.5.2 The Effect of Intermediate Principal Stress
191(1)
8.5.3 The Effect of Stress Angle
192(1)
8.5.4 Limit Meridian Loci
193(1)
8.5.5 The Limit Loci on the π-Plane
194(1)
8.6 Experimental Verification of Strength Theory for Concrete
195(4)
8.7 Experiments on Clay and Loess under Complex Stress
199(2)
8.8 Experiments on Sand under Complex Stress
201(2)
8.9 The Ultimate Dynamic Strength of Sand under Complex Stress
203(2)
Summary
205(2)
9 Applications of the Unified Yield Criterion 207(30)
9.1 Introduction
207(2)
9.2 Theorems of limit analysis
209(1)
9.2.1 Lower-Bound Theorem
210(1)
9.2.2 Upper-Bound Theorem
210(1)
9.3 Generalized Stresses and Generalized Strains
210(2)
9.4 Basic Equations of Circular Plates
212(5)
9.5 Fields of Internal Moments
217(3)
9.6 Fields of Velocity
220(4)
9.7 Comparison with Existing Solutions
224(1)
9.8 Rotating Discs and Rotating Cylinders
225(1)
9.9 Elastic Limit of Discs
226(1)
9.10 Elasto-Plastic Analysis of Discs
227(1)
9.11 Elasto-Plastic Stress Fields of Rotating Discs
228(2)
9.12 Solution Procedure and Results
230(4)
9.13 Plastic Limit analysis of Rotating Cylinder
234(1)
9.14 Application of the Unified Strength Theory
235(1)
Summary
235(1)
Problems
236(1)
10 The Effects of Failure Criteria on Structural Analysis 237(56)
10.1 Introduction
237(3)
10.2 Bounds and the Region of the Convex Limit Surface
240(1)
10.3 Nonconvex Limit Loci
240(1)
10.4 Effect of Failure Criteria on Thin-Walled Pressure Vessel Design
241(3)
10.5 Limit Pressure of Thick-Walled Hollow Spheres
244(6)
10.5.1 Elastic Limit Pressure of Thick-Walled Spherical Shell
246(2)
10.5.2 Plastic Limit Pressure of Thick-Walled Spherical Shell
248(2)
10.6 Effects of Failure Criteria on the Elastic Limit Pressure of Thick-Walled Cylinders
250(8)
10.7 Effects of Failure Criteria on the Plastic Limit Pressure of Thick-Walled Cylinder
258(7)
10.7.1 Stress Distribution
258(1)
10.7.2 Plastic Zone in the Elasto-Plastic Range
259(1)
10.7.3 Plastic Zone Radius in the Elasto-Plastic Range
260(1)
10.7.4 Plastic Limit Pressure
261(4)
10.8 Effects of Failure Criteria on the Shape and Size of the Crack Tip Plastic Zone
265(6)
10.8.1 Mode I Crack in Plane Stress State
266(2)
10.8.2 Mode I Crack in Plane Strain
268(1)
10.8.3 Mode II Crack in Plane Stress
269(1)
10.8.4 Mode II Crack in Plane Strain State
270(1)
10.9 Effects of Failure Criteria on FEM Analysis
271(17)
10.9.1 Effects of Failure Criteria on FEM Analysis for Limit Bearing Capacity of Plates
272(1)
10.9.2 Effects of Failure Criteria on FEM Analysis of Plastic Zones for Thick-Walled Cylinders
273(2)
10.9.3 Effects of Failure Criterion on FEM Analysis for a Strip with a Hole
275(1)
10.9.4 Effects of Failure Criterion on FEM Analysis of Plastic Zone for Circular Cave
276(3)
10.9.5 Effects of Failure Criterion on Mesomechanical Analysis of Failure Criterion
279(2)
10.9.6 Effects of Failure Criteria on FEM Analysis of Composites
281(3)
10.9.7 Effects of Failure Criteria on FEM Analysis for Underground Caves
284(4)
Summary
288(1)
Problems
289(4)
11 Historical Reviews 293(60)
11.1 Introduction
293(1)
11.2 Strength Theories before the Twentieth Century
293(8)
11.2.1 Early Work
293(4)
11.2.2 Strength Theories before the Twentieth Century
297(2)
11.2.3 Strength Theories at the Begining of the Twentieth Century
299(2)
11.3 Three Series of Strength Theories
301(14)
11.3.1 Single-Shear Strength Theory (SSS theory)
302(3)
11.3.2 Octahedral-Shear Strength Theory (OSS Theory)
305(7)
11.3.3 Twin-Shear Strength Theory (TSS theory)
312(3)
11.4 Establishment of the Unified Yield Criteria
315(4)
11.4.1 Curved General Yield Criteria
315(2)
11.4.2 Linear Unified Yield Criterion
317(2)
11.5 Failure Criteria of Rock, Concrete, Soil, Iron, Polymer and Other Materials
319(14)
11.5.1 Failure Criteria for Rock
320(2)
11.5.2 Failure Criteria for Concrete
322(1)
11.5.3 Failure Criteria for Soil
323(2)
11.5.4 Failure Criteria for Iron
325(1)
11.5.5 Failure Criteria of Ice
325(1)
11.5.6 Failure Criteria for Wood
326(1)
11.5.7 Failure Criteria for Polymers
326(2)
11.5.8 Failure Criteria of Energetic Materials (TNT, RDX and Solid Rocket Propellant)
328(1)
11.5.9 Failure Criteria for Ceramic and Glass
328(1)
11.5.10 Failure Criteria of Other Materials
329(4)
11.6 Unified Strength Theory
333(11)
11.6.1 Octahedral-Shear Generalized Strength Theory
334(1)
11.6.2 Unified Strength Theory (Yu and He 1991)
335(2)
11.6.3 Special Cases of the Unified Strength Theory
337(3)
11.6.4 Comparison and Choice
340(1)
11.6.5 Application of the Unified Strength Theory
341(1)
11.6.6 Nonconvex Strength Theory
342(2)
11.7 Computational Implementation of the Strength Theory
344(4)
Summary
348(3)
Problems
351(2)
12 References and Bibliography 353(54)
12.1 Early Works (before 1900)
353(1)
12.2 Works from 1901 to 1950
354(4)
12.3 Works from 1951 to 1960
358(5)
12.4 Works from 1961 to 1970
363(7)
12.5 Works from 1971 to 1980
370(9)
12.6 Works from 1981 to 1990
379(9)
12.7 Works from 1991 to 2000
388(14)
12.8 Works from 2001 to 2002
402(5)
Author Index 407(4)
Subject Index 411