Non-linear static analysis allowing for plastic hinges and semi-rigid joints

Chan, Siu Lai; Chui, P.P.T.

doi:10.1016/b978-008042998-4/50007-7

Cited by 3 publications

(4 citation statements)

References 33 publications

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“…The additional time required for the procedure to deal with the zero-length plastic hinges is minimal when compared with the total computational time. 40 Therefore, the proposed model has the similar efficiency as the EPE model in each iterative procedure and is capable of modeling the inelastic behavior of the pile with higher accuracy.…”

Section: Compare With Field Load Test and Epe Model On Prestressed Co...mentioning

confidence: 99%

“…The inelastic region will gradually spread with the increasing applied load until the pile section reaches its ultimate moment ( M u ). In order to consider the gradual yielding behavior, the parameters of material plasticity R y and R z proposed by Chan and Chui 40 are used in this work and determined by:

\begin{equation}R = \frac{{6\left| {{M_u} - {M_h}} \right|}}{{\left| {{M_h} - {M_y}} \right|}},\quad {M_y} &lt; {M_h} &lt; {M_u}\end{equation}

where M h is the moment at the plastic hinge; and, M y and M u are the first‐yield moment and ultimate moment, respectively. The value of R is set to infinity (10 10 ) before yielding in this study.…”

Section: Proposed Element Formulationsmentioning

confidence: 99%

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Formulation and numerical applications of efficient pile–soil integrated element considering structural inelasticity

Wan

Bai

2023

Num Anal Meth Geomechanics

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The prediction of pile behavior under extreme loading is an essential consideration in the design. The pile behavior at a large displacement level is governed by the pile–soil interaction and the material inelasticity. The conventional numerical model using a large number of elements is inefficient for modeling the nonlinear pile–soil interaction and structural inelasticity in finite element analysis. To accurately and effectively evaluate the behavior of piles under extreme loading, this paper develops a pile–soil integrated element considering structural inelasticity. The pile–soil interaction force can be efficiently evaluated according to the soil resistance at the Gauss integration points. The different types of p‐y and t‐z curves can be applied in this element to represent soil properties at any soil depth. Zero‐length plastic hinges at the ends and middle of an element are used to capture the inelastic behavior of a pile. The plastic hinges and the soil springs are integrated into the proposed element formulations, and thus one element type is sufficient to conveniently simulate the nonlinear pile–soil interactions. Comparisons between the results of the elastic pile element and the data from published literature and field tests are provided to validate the accuracy and efficiency of the proposed method.

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Section: Compare With Field Load Test and Epe Model On Prestressed Co...mentioning

confidence: 99%

\begin{equation}R = \frac{{6\left| {{M_u} - {M_h}} \right|}}{{\left| {{M_h} - {M_y}} \right|}},\quad {M_y} &lt; {M_h} &lt; {M_u}\end{equation}

Section: Proposed Element Formulationsmentioning

confidence: 99%

Formulation and numerical applications of efficient pile–soil integrated element considering structural inelasticity

Wan

Bai

2023

Num Anal Meth Geomechanics

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“…To obtain good accuracy in the results, the Refined Plastic Hinge Method (RPHM) appears as an alternative aiming a practical and computationally viable way. Usually, RPHM is associated with the analysis of steel structures [2][3], steel-concrete composite structures [1,4] and more recently reinforced concrete structures [5][6]. In these approaches, it is possible that degradation of the stiffness of the cross section be made by means of pseudo-spring elements inserted at the ends of the beam-column finite elements.…”

Section: Introductionmentioning

confidence: 99%

Concentrated Approaches for Nonlinear Analysis of Composite Beams with Partial Interaction

Carvalho¹,

Lemes²,

Silveira³

et al. 2021

ce papers

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Two plane displacement‐based formulations with concentrated nonlinear effects for numerical analysis of composite beams are presented here. The effects of geometric nonlinearity, plasticity and partial shear connection are considered. In these two approaches, the co‐rotational system is defined to allow large displacements and rotations in the numerical model. The first formulation is based to Strain Compatibility Method, where the sections strains are explicitly evaluated as well as the slipping at the steel‐concrete interface. Thus, the axial and flexural stiffness of the cross section is determined in each step of the incremental‐iterative process. The second methodology considers rotational pseudo‐springs at the finite elements ends to simulate of plasticity. Furthermore, the effects of partial interaction can not be simulated by the inherently rotational behavior of the pseudo‐springs. Thus, the cracking and partial interaction effects are approached through effective moment of inertia defined by normative criteria. Four composite beams are simulated with these two formulations and compared by the load‐displacements paths. In all numerical result findings these formulations are closed and accurate to the experimental data presented in literature.

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“…IHADDOUDÈNE et al [7] apresentaram um modelo mecânico Figura 1: Curvas momento -rotação típicas de algumas ligações. Fonte: adaptada de CHAN e CHUI [6]. baseado na analogia de três molas, o qual leva em consideração a influência das conexões no comportamento de pórticos de aço.…”

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Modelo numérico-computacional de ligação semirrígida baseado na Mecânica do Dano

de Souza,

Letícia Soares,

Kawamoto

et al. 2022

Matéria (Rio J.)

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RESUMO As ligações de viga – pilar em estruturas de aço são projetadas tradicionalmente supondo seu comportamento idealmente flexível ou totalmente rígido, o que simplifica os processos de análise e de projeto estrutural. No entanto, esses dois casos são extremos, porque a maioria das conexões usadas no campo prático transmitem algum momento parcial. Resultados experimentais obtidos para conexões de viga – pilar mostram que a relação entre a rotação e o momento é não linear e varia dependendo da flexibilidade das mesmas. Nesse contexto, um modelo constitutivo unidimensional de ligação fundamentado na Mecânica do Dano Contínuo é proposto, o qual leva em conta a redução progressiva da rigidez rotacional. Um código computacional é desenvolvido para a análise estática de pórticos planos com comportamento não linear geométrico e com ligação semirrígida. A variável dano é calculada em função de três parâmetros – rigidez rotacional inicial, deformação rotacional e módulo de dano -, sendo esses obtidos da curva momento – rotação da ligação. Com o objetivo de verificar a formulação proposta, esse modelo é aplicado em dois problemas numéricos - uma viga em balanço e um pórtico com dois andares. As estruturas são discretizadas com a formulação Corrotacional do Método dos Elementos Finitos, considerando a teoria de Euler-Bernoulli para a flexão de viga. A ligação é simulada por um elemento finito de comprimento nulo, cuja matriz de rigidez elementar considera as rigidezes axial, translacional e rotacional. O sistema de equações não lineares, que descreve o problema estrutural, é solucionado por um procedimento incremental-iterativo de dois passos com convergência cúbica. Os resultados numéricos com o programa Scilab mostram a boa concordância entre as trajetórias de equilíbrio obtidas com o modelo proposto e aquelas encontradas na literatura.

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Non-linear static analysis allowing for plastic hinges and semi-rigid joints

Cited by 3 publications

References 33 publications

Formulation and numerical applications of efficient pile–soil integrated element considering structural inelasticity

Formulation and numerical applications of efficient pile–soil integrated element considering structural inelasticity

Concentrated Approaches for Nonlinear Analysis of Composite Beams with Partial Interaction

Modelo numérico-computacional de ligação semirrígida baseado na Mecânica do Dano

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