Preface |
|
viii | |
|
|
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) |
|
|
10 | (7) |
|
|
12 | (3) |
|
|
15 | (2) |
|
2 Stress state and elements |
|
|
17 | (14) |
|
|
17 | (2) |
|
2.2 Stresses on the oblique plane |
|
|
19 | (1) |
|
2.3 Cubic hexahedron and octahedron |
|
|
20 | (3) |
|
|
23 | (1) |
|
|
24 | (4) |
|
|
28 | (3) |
|
|
28 | (1) |
|
|
28 | (3) |
|
3 Yu-unified strength theory (Yu-UST) |
|
|
31 | (20) |
|
|
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) |
|
|
49 | (2) |
|
|
49 | (1) |
|
|
50 | (1) |
|
4 Yu-unified yield criteria for metals |
|
|
51 | (14) |
|
|
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) |
|
|
61 | (4) |
|
|
62 | (2) |
|
|
64 | (1) |
|
5 Applications of the Yu-UST and Yu-UYC |
|
|
65 | |
|
|
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) |
|
|
99 | |
|
|
99 | (1) |
|
|
100 | |