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E-raamat: Introduction to Unified Strength Theory

  • Formaat: 114 pages
  • Ilmumisaeg: 15-May-2019
  • Kirjastus: CRC Press
  • Keel: eng
  • ISBN-13: 9781000022933
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  • Formaat: 114 pages
  • Ilmumisaeg: 15-May-2019
  • Kirjastus: CRC Press
  • Keel: eng
  • ISBN-13: 9781000022933
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Strength theory deals with the yield or failure of materials under complex stress state. It is very important in mechanics of materials, strength of structures, and mechanical and civil engineering. Unified strength theory is a series of yield criteria and failure criteria other than a single strength theory. The unified strength theory can be adopted for various kinds of materials, such as metallic materials, geomaterials, polymers etc. It is the solution to the Voigt-Timoshenko Conundrum. Its limit surfaces cover all regions of the convex strength theory from the lower bound to the upper bound. This book gives a clear and brief description about the unified strength theory both in figures and text. Some applications of unified strength theory are also given in this book. This book is suitable for undergraduate students, who are studying the mechanics of materials and engineering mechanics, as well as for graduate students who are interested in this field. Researchers and engineers can also benefit from this book.

Preface viii
1 Introduction
1(16)
1.1 Strength of materials in tension and compression
1(1)
1.2 Strength of materials under complex stress
1(3)
1.3 Single strength theory
4(3)
1.4 Voigt-Timoshenko conundrum
7(2)
1.5 The development of unified strength theory
9(1)
1.6 Applications of the Yu-UST
10(1)
1.7 Summary
10(7)
References
12(3)
Readings
15(2)
2 Stress state and elements
17(14)
2.1 Introduction
17(2)
2.2 Stresses on the oblique plane
19(1)
2.3 Cubic hexahedron and octahedron
20(3)
2.4 Mohr stress circle
23(1)
2.5 Stress space
24(4)
2.6 Summary
28(3)
References
28(1)
Readings
28(3)
3 Yu-unified strength theory (Yu-UST)
31(20)
3.1 Introduction
31(1)
3.2 The Yu-unified strength theory
31(3)
3.3 Special cases of the Yu-UST for different parameter b
34(1)
3.4 Limit loci of the Yu-UST by varying parameter b in the π-plane
35(3)
3.5 Variation of limit loci of the Yu-UST when α = 1/2
38(2)
3.6 Limit surfaces of the Yu-UST in principal stress space
40(2)
3.7 Limit loci of the Yu-UST in plane stress state
42(1)
3.8 Limit loci of the Yu-UST under the σ -- τ combined stress state
43(3)
3.9 Experiment verification of Yu-UST
46(3)
3.10 Summary
49(2)
References
49(1)
Readings
50(1)
4 Yu-unified yield criteria for metals
51(14)
4.1 Introduction
51(1)
4.2 The Yu-unified yield criterion (Yu-UYC)
51(1)
4.3 Special cases of the Yu-UYC
52(3)
4.4 Experimental determination of parameter b
55(1)
4.5 Yu-UYC in the plane stress state
56(2)
4.6 Yu-UYC in the σ -- τ stress state
58(3)
4.7 Yield surfaces of the Yu-UYC
61(1)
4.8 Summary
61(4)
References
62(2)
Readings
64(1)
5 Applications of the Yu-UST and Yu-UYC
65
5.1 Introduction
65(1)
5.2 Strength design of a thin-walled pressure cylinder
65(3)
5.3 Thickness design of a thin-walled pressure vessel
68(2)
5.4 Strength design of a gun tube of trench mortar
70(2)
5.5 Strength design of an oil pipe
72(1)
5.6 Strength design of an automobile transmission shaft: maximum allowable torque
73(3)
5.7 Strength design of an automobile transmission shaft: outer diameter design of drive shaft
76(1)
5.8 Strength design of a transmission axle
77(2)
5.9 Unified solution for elastic limit pressure of a thick-walled cylinder subjected to internal pressure
79(7)
5.10 Analysis of plastic ultimate pressure for a thick-walled cylinder with internal pressure
86(4)
5.11 Unified solution of plastic limit internal pressure for a thick-walled cylinder with the same tensile strength and compressive strength materials
90(1)
5.12 Unified solution of plastic limit internal pressure for a thick-walled cylinder with different tensile strength and compressive strength materials
91(3)
5.13 Barrel strength design of artillery
94(2)
5.14 The economic significance of the use of Yu-unified strength theory
96(1)
5.15 Procedure of the applications of the Yu-UST and Yu-UYC
97(2)
5.16 Summary
99
References
99(1)
Readings
100
Mao-Hong Yu is a professor at the State Key Laboratory for Strength and Vibration of Mechanical Structure at Xian Jiaotong University, Xian, China. His scientific research is concentrated on the strength of materials and structures including the metal, rock, soil, concrete, plasticity, geo-mechanics and mechanics of materials, etc. The unified strength theory has won the National Natural Science Awards in 2011 which is the highest award in China.