弹性板壳的内禀理论 英文版PDF电子书下载

1．Introduction and summary 1

PART Ⅰ GENERAL THEORY 13

2．Calculation of macroscopic tensors in terms of microscopic quantities 13

3．Derivation of macroscopic equations of equilibrium from microscopic considerations 28

4．The macroscopic tensors in terms of the six quantities pαβ and qαβ 35

5．Equations of equilibrium and compatibility in terms of the six unknowns pαβand qαβ 56

6．The equations of equilibrium and compatibility referred to the middle surface in the natural state 62

PART Ⅱ APPLICATION TO THIN PLATES 77

7．Classification of all thin plate problems 77

8．Problems of finite deflection(q=0),Types P1-P3 89

9．Problems of small deflection(q≥1,p=1;q=1,p=2;q≥1,p＞2q),Types P4-P8 107

10．Problems of very small deflection(q≥2,2q≥p≥2),Types P9-P11,and problems of zero deflection(q=∞),Type P12 121

PART Ⅲ APPLICATION TO THIN SHELLS 133

11．Classification of all thin shell problems 133

12．Problems of thin shells with finite curvature(b=0),Types SF1-SF8 143

13．Problems of thin shells with small curvature(b≥1):Problems effectively equivalent to thin plate problems(q＜b),Types SS1-SS11 160

Problems of critical deflection(q=b),Types SS12-SS18 162

14．Problems of thin shells with small curvature(b≥1):(continued)Problems in which the deflection is small compared with the initial curvature(q＞b),Types SS19-SS27 177

15．Certain practical applications 195

（ⅰ）Type SF4:The case of a developable shell 195

（ⅱ）Type SS12 and the von Kármán-Tsien theory of buckling of thin shells 201

Acknowledgement 208

Appendices 209

（ⅰ）Table Ⅰ:Table of the more frequent notations 209

（ⅱ）Table Ⅱ:Table of the equations of equilibrium and compatibility of thin shell and plate problems 215

（ⅲ）Table Ⅲ:Table of the external force system and the macroscopic tensors 220

Bibliography 224

后记 227