<i>Stability of Structures: Elastic, Inelastic, Fracture and Damage Theories</i>

Bažant, Z. P.; Cedolin, L.; Chen, W. F.; Lui, Eric M.

doi:10.1061/(asce)0733-9445(1993)119:3(1001)

Cited by 351 publications

(646 citation statements)

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“…The structure stability is often determined by singular points in its equilibrium path. These points can represent severe problems for common geometrically nonlinear finite elements methods based on increase of load actions which are routinely applied to engineering designs [22][23][24].…”

Section: Bifurcation and Limit Pointsmentioning

confidence: 99%

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Computation of Equilibrium Paths in Nonlinear Finite Element Models

Kala

2016

MATEC Web Conf.

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Abstract. In the present paper, equilibrium paths are simulated applying the nonlinear finite element model. On the equilibrium paths, there are identified critical points which contribute to understanding and quantification of stability processes in a nonlinear system. By means of nonlinear solution, bifurcation points from which two equilibrium path branches emanate and so there is no unique tangent were identified and drawn. Mutual position of limit and bifurcation points was identified. The paper describes multidisciplinary problems of the analysis of limit states of nonlinear systems. The methods of stochastic and sensibility analyses which are frequently applied to assessment of the safety and reliability of supporting structural systems are discussed.

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Section: Bifurcation and Limit Pointsmentioning

confidence: 99%

“…The parameter P which controls the structural behaviour in dependence on displacement u 1 is introduced to vertical axes. The identification of critical points is well known [24]. When applying the finite elements method, critical points can be identified using tangent stiffness matrix K. The matrix K is symmetric and real.…”

Section: Bifurcation and Limit Pointsmentioning

confidence: 99%

Computation of Equilibrium Paths in Nonlinear Finite Element Models

Kala

2016

MATEC Web Conf.

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“…Application of the boundary element technique yields a system of nonlinear coupled differential-algebraic equations (DAE) of motion, which can be solved iteratively using any efficient direct time integration scheme. In this study, the Petzold-Gear method is used [9] after introducing new variables to reduce the order of the system [10] and obtain an equivalent system with a value of system index ind 1  [10].…”

Section: Numerical Solutionmentioning

confidence: 99%

Seismic Soil-Pile Interaction - Influence of Soil Inelasticity

Kampitsis¹,

Sapountzakis

Giannakos³

et al. 2014

Proceedings of the 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. The main purpose of this study is to investigate the influence of soil p-y nonlinearity in soil-pile-structure kinematic and inertia interaction. Within this context, a beam on nonlinear Winkler foundation model is adopted based on the Boundary Element INTRODUCTIONThe seismic response of column-pile systems under transient earthquake excitation is an area of extensive active research, since pile foundation is widely used to support superstructures such as bridges, wind-turbines and offshore platforms. As the seismic shear wave propagates through the soil deposit, the embedded foundation tends to modify the transmitted excitation due to the soil-foundation stiffness contrast, the boundary constrains of the head and tip of the pile as well as the dynamic response of the system (frequency correlation). This interaction develops even in the absence of a superstructure and is referred to as the kinematic interaction. At the same time, the dynamic response of the superstructure itself induces additional deformations to the pile and the near-field soil. This effect is known as inertial interaction. Kinematic and inertial interaction constitute a complex and unique phenomenon referred to as Soil-Pile-Structure Interaction (SPSI) which includes a number of parameters, such as the soil stratigraphy and properties, the non-linear stress-strain behavior of the soil and pile (material nonlinearity) and the geometrical nonlinearities (p-δ effects, separation and slippage).The main purpose of this study is to investigate the influence of soil p-y nonlinearity in soil-pile-structure kinematic and inertia interaction. Within this context, a beam on nonlinear Winkler foundation model is adopted based on the Boundary Element Method (BEM), accounting for the effects induced by geometrical nonlinearity, rotary inertia and shear deformation, employing the concept of shear deformation coefficients. The soil nonlinearity is taken into consideration by means of a hybrid spring configuration consisting of a nonlinear (p-y) spring connected in series to an elastic spring-damper model. The nonlinear spring captures the near-field plastification of the soil while the spring-damper system (KelvinVoigt element) represents the far-field viscoelastic character of the soil. An extensive case study is carried out on a pile-column-deck system of a bridge, founded in two cohesive layers of sharply different stiffness and subjected in various earthquake excitations, providing insight to several phenomena. The results of the proposed model are compared with those obtained from the Beam-FE model employing OpenSees code [1] as well as from a rigorous fully three-dimensional (3-D) continuum FE scheme materialized in the ABAQUS code [2]. The essential features and novel aspects of the present contribution compared with previous ones are summarized as follows. i. Soil nonlinearity is taken under consideration by means of a hybrid spring configuration consisting of a nonlinear (p-y) spring for the near-field plastification, connected in series to...

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“…The related literature is rich in solutions of typical examples, conclusions and recommendations, obtained by means of a wide variety of exact and approximate approaches in monographs [1][2][3][4][5][6][7][8], papers [9,10] etc. The solutions obtained on the basis of the exact differential equation of the elastic lines of beam-columns are of utmost importance for both the reliable conclusions derived and the possibility to assess the accuracy of approximate approaches such as finite element and boundary methods, finite difference method, differentially quadrature methods, etc.…”

Section: Introductionmentioning

confidence: 99%

T-Shaped Frame Critical and Post-Critical Analysis

Дойчева¹

2016

Journal of Theoretical and Applied Mechanics

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Abstract. The paper shows solution of a T-shaped frame, strengthened with two linear springs, regarding critical and post-critical analysis. The solution is exact using the Euler elastic approach and the frame of reference, originated in the point of column axis inflexion. The derived Numerical results show the effect of the springs strengthening for the critical and the post-critical system behaviour. The influence of the geometry change is analyzed, as well.

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Stability of Structures: Elastic, Inelastic, Fracture and Damage Theories

Cited by 351 publications

References 0 publications

Computation of Equilibrium Paths in Nonlinear Finite Element Models

Computation of Equilibrium Paths in Nonlinear Finite Element Models

Seismic Soil-Pile Interaction - Influence of Soil Inelasticity

T-Shaped Frame Critical and Post-Critical Analysis

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