Nonlinear finite element analysis of concrete structures

Bergan, Pål G.; Holand, Ivar

doi:10.1016/0045-7825(79)90027-6

Cited by 80 publications

(20 citation statements)

References 26 publications

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“…This result indicates that the solutions were converged to a stable state close to equilibrium, and that the remaining force unbalance in unconverged load steps might be due to local self-equilibrating unbalances as discussed by Bergan and Holand (1979). In most of the load steps of the presented NLFEA, the energy convergence criterion was governing, i.e.…”

Section: Discussionmentioning

confidence: 68%

A quantification of the modelling uncertainty of non-linear finite element analyses of large concrete structures

et al. 2017

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Section: Discussionmentioning

confidence: 68%

A quantification of the modelling uncertainty of non-linear finite element analyses of large concrete structures

et al. 2017

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“…Parameters f m , e 1 , and e u are determined in the compression tests on concrete cylinders; e r and e m must be determined in tension tests which are for concrete only rarely performed. The empirically proved and commonly used values e r = 5.5 · 10 À5 and e m = 7 · 10 À4 are rather good approximative values [1].…”

Section: Constitutive Law Of Concretementioning

confidence: 73%

“…Following Desayi and Krishnan [4] and Bergan and Holand [1], the uniaxial stress-strain relation for concrete is given by a function, which is smooth almost everywhere, except at a finite number of discrete points ( Fig. 1):…”

Section: Constitutive Law Of Concretementioning

confidence: 99%

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Analytical integration of stress field and tangent material moduli over concrete cross-sections

Zupan

Saje

2005

Computers & Structures

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This paper presents a novel stress field and tangent material moduli integration procedure over a cross-section of a biaxially loaded concrete beam. The procedure assumes a sufficiently simple analytical form of the constitutive law of concrete, the polygonal shape of the boundary of the simply-or multi-connected cross-section and the monotonically increasing loading. The area integrals are transformed into the boundary integrals and then integrated analytically. The computational efficiency of the procedure is analyzed by comparing it with respect to the number of floating-point operations needed in various numerical integration-based methods. It is found that the procedure is not only exact, but also computationally effective.

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“…However, it is difficult to represent the nonlinear biaxial or triaxial stress-strain behavior of concrete or any other material. The relevant problems are discussed in two state-of-theart reports on nonlinear finite element analysis of RC structures, one by P. G. Bergan and I. Holand in 1979 [2] and another in a special publication of ASCE in 1982 [3], written by specialists on this field, under the co-ordination of A. C. Scordelis. Also, the difficulties appearing in the application of finite elements to nonlinear problems have been discussed in the series of three Conferences F. E. No.…”

Section: Introductionmentioning

confidence: 99%

Achievements of Truss Models for Reinforced Concrete Structures

Papadopoulos¹,

Xenidis²,

Lazaridis³

et al. 2012

OJCE

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Achievements are presented for truss models of RC structures developed in previous years: 1) Two constitutive models, biaxial and triaxial, are based on regular trusses, with bars obeying nonlinear uniaxial σ-ε laws of material under simulation; both models have been compared with test results and show a dependence of Poisson ratio on curvature of σ-ε law; 2) A truss finite element has been used in the nonlinear static and dynamic analysis of plane RC frames; it has been compared with test results and describes, in a simple way, the formation of plastic hinges; 3) Thanks to the very simple geometry of a truss, the equilibrium equations can be easily written and the stiffness matrix can be easily updated, both with respect to the deformed truss, within each step of a static incremental loading or within each time step of a dynamic analysis, so that to take into account geometric nonlinearities. So the confinement of a RC column is interpreted as a structural stability effect of concrete. And a significant role of the transverse reinforcement is revealed, that of preventing, by its close spacing and sufficient amount, the buckling of inner longitudinal concrete struts, which would lead to a global instability of the RC column; 4) The proposed truss model is statically indeterminate, so it exhibits some features, which are not met by the "strut-and-tie" model.

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Nonlinear finite element analysis of concrete structures

Cited by 80 publications

References 26 publications

A quantification of the modelling uncertainty of non-linear finite element analyses of large concrete structures

A quantification of the modelling uncertainty of non-linear finite element analyses of large concrete structures

Analytical integration of stress field and tangent material moduli over concrete cross-sections

Achievements of Truss Models for Reinforced Concrete Structures

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