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Deformation analysis under variable loading
Abstract The inelastic analysis of strain hardening and elastoplastic frame structures under variable loading is presented. The formulation adopted is essentially that proposed by Maier who, using an ‘imposed rotation’ method within a modern matrix framework, reduced the final mathematical form to a linear complementarity problem (LCP). The nonproportional loading path is subdivided into a set of individually proportional stages — the basis of the ‘multistage method’. Under the assumption of holonomic behaviour, the LCP within each loading stage is solved through Hildreth's modified Gauss-Seidel iterative procedure. The nonholonomic nature of plastic deformations is only allowed for in passing from one stage to the subsequent one by suitable adjustment of the assumed piecewise linear constitutive laws. Two main classes of hardening models are presented with detailed treatment of the stage updating of yield limits. A brief discussion on the specification of the appropriate hardening parameters for critical sections of essentially mild steel members is included. Finally, examples are given to illustrate both the theoretical and practical applications of the method.
Deformation analysis under variable loading
Abstract The inelastic analysis of strain hardening and elastoplastic frame structures under variable loading is presented. The formulation adopted is essentially that proposed by Maier who, using an ‘imposed rotation’ method within a modern matrix framework, reduced the final mathematical form to a linear complementarity problem (LCP). The nonproportional loading path is subdivided into a set of individually proportional stages — the basis of the ‘multistage method’. Under the assumption of holonomic behaviour, the LCP within each loading stage is solved through Hildreth's modified Gauss-Seidel iterative procedure. The nonholonomic nature of plastic deformations is only allowed for in passing from one stage to the subsequent one by suitable adjustment of the assumed piecewise linear constitutive laws. Two main classes of hardening models are presented with detailed treatment of the stage updating of yield limits. A brief discussion on the specification of the appropriate hardening parameters for critical sections of essentially mild steel members is included. Finally, examples are given to illustrate both the theoretical and practical applications of the method.
Deformation analysis under variable loading
Tin Loi, Francis (author)
Engineering Structures ; 3 ; 2-8
1981-01-01
7 pages
Article (Journal)
Electronic Resource
English
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