1.Introductionandsummary
PARTIGENERALTHEORY
2.Calculationofmacroscopictensorsintermsofmicroscopicquantities
3.Derivationofmacroscopicequationsofequilibriumfrommicroscopicconsiderations
4.Themacroscopictensorsintermsofthesixquantitiespαβandqαβ
5.Equationsofequilibriumandcompatibilityintermsofthesixunknownspαβandqαβ
6.Theequationsofequilibriumandcompatibilityreferredtothemiddlesurfaceinthenaturalstate
PARTIIAPPLICATIONTOTHINPLATES
7.Classificationofallthinplateproblems
8.Problemsoffinitedeflection(q=0),TypesP1-P3
9.Problemsofsmalldeflection(q≥1,p=1;q=1,p=2;q≥1;p>2q),TypesP4-P8
10.Problemsofverysmalldeflection(q≥2,2q≥p≥2),TypesP9-P11,andproblemsofzerodeflection(q=∞),TypeP12
PARTIIIAPPLICATIONTOTHINSHELLS
11.Classificationofallthinshellproblems
12.Problemsofthinshellswithfinitecurvature(b=0),TypesSF1-SF8
13.Problemsofthinshellswithsmallcurvature(b≥1):
Problemseffectivelyequivalenttothinplateproblems(q<b),
TypesSS1-SS11Problemsofcriticaldeflection(q=b),TypesSS12-SS18
14.Problemsofthinshellswithsmallcurvature(b≥1):(continued)
Problemsinwhichthedeflectionissmallcomparedwiththeinitial
curvature(q>b),TypesSS19-SS27
15.Certainpracticalapplications
(i)TypeSF4:Thecaseofadevelopableshell
(ii)TypeSS12andthevonKarman-Tsientheoryofbucklingofthinshells
Acknowledgement
Appendices
(i)TableI:Tableofthemorefrequentnotations
(ii)TableII:Tableoftheequationsofequilibriumandcompatibilityofthinshellandplateproblems
(iii)TableIII:Tableoftheexternalforcesystemandthemacroscopictensors
Bibliography
后记