1. Introduction and summary
PART I GENERAL THEORY
2. Calculation of macroscopic teo in terms of microscopic
quantities
3. Derivation of macroscopic equatio of equilibrium from
microscopic coideratio
4. The macroscopic teo in terms of the six quantities pαβ and qαβ
5. Equatio of equilibrium and compatibility in terms of the six
unknow pαβ and qαβ
6. The equatio of equilibrium and compatibility referred to the
middle surface in the natural state
PART II APPLICATION TO THIN PLATES
7. Classification of all thin plate problems
8. Problems of finite deflection q = 0, Types P1 - P3
9. Problems of small deflection q≥1, p = 1;q = 1, p = 2;q ≥ 1;p >
2q, Types P4 - P8
10. Problems of very small deflection q ≥ 2, 2q ≥ p ≥ 2, Types P9
-P11, and problems of zero deflection q = ∞, Type P12
PART III APPLICATION TO THIN SHELLS
11. Classification of all thin shell problems
12. Problems of thin shells with finite curvature b = 0, Types
SF1 - SF8
13. Problems of thin shells with small curvature b ≥ 1 :
Problems effectively equivalent to thin plate problems q < b,
Types SS1 - SS11 Problems of critical deflection q = b, Types
SS12 - SS18
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
15. Certain practical applicatio
i Type SF4: The case of a developable shell
ii Type SS12 and the von Karman-Tsien theory of buckling of
thin shells
Acknowledgement
Appendices
i Table I: Table of the more frequent notatio
ii Table II: Table of the equatio of equilibrium and
compatibility of thin shell and plate problems
iii Table III: Table of the external force system and the
macroscopic teo
Bibliography
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