Optimization of Axisymmetric Membrane Shells Against Brittle Fracture
- 64 Downloads
The questions investigated in this paper are related to an important class of problems of optimal design of structures against brittle fracture. The primary problem of axisymmetric shell optimization under fracture mechanics constraint is formulated as the weight (volume of the shell material) minimization under stress intensity constraints. Considered problems are characterized by incomplete information concerning crack size, crack location and its orientation. Taking into account the factor of incomplete information the paper presents the formulation of optimal shell design problem based on minimax (guaranteed) approach and provides some results of analytical investigation for thin-walled shells with through cracks.
KeywordsStructural optimization Shells Fracture mechanics Minimax approach
Unable to display preview. Download preview PDF.
- 1.Banichuk, N.V. 1998‘Optimal design of quasi-brittle elastic bodies with cracks’Int. J. Mech. Struct. Mach.26365376Google Scholar
- 2.Banichuk N.V., Makela M., Neittaanmaki P. ‘Shape optimization for structures from quasi-brittle materials subjected to cyclic loads’. In: De Roeck G., Topping B.H.V. (ed). Identification, Control and Optimization. CIVIL-COMP Press, Edinburgh, pp. 145–151Google Scholar
- 3.Banichuk, N.V., Ragnedda, F., Serra, M. 1999‘Probabilistic approaches for optimal beam design based on fracture mechanics’Meccanica.342938Google Scholar
- 4.Hellan K. Introduction to Fracture Mechanics. Mc-Graw-Hill, New YorkGoogle Scholar
- 5.Kanninen, M.F., Popelar, C.H. 1984Advanced Fracture MechanicsOxford University PressNew YorkGoogle Scholar
- 6.Smith, R.N.L. 1991BASIC Fracture MechanicsButterworth-HeinemannOxfordGoogle Scholar
- 7.Timoshenko, S. 1956Strength of Materials, Part II: Advanced Theory and ProblemsD. Van Nostrand CompanyNew YorkGoogle Scholar
- 8.Timoshenko, S. 1959Theory of Plates and ShellsMc-Graw HillNew YorkGoogle Scholar