Nonlinear analysis of two-dimensional steel, reinforced concrete and composite steel-concrete structures via coupling SCM/RPHM

Lemes, Ígor José Mendes; Silveira, Ricardo Azoubel da Mota; Silva, Andréa R. D.; Rocha, Paulo Anderson Santana

doi:10.1016/j.engstruct.2017.05.042

Cited by 15 publications

(27 citation statements)

References 31 publications

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“…The terms k11, k22, k23, k32, and k33 are components of the beam-column stiffness matrix element, without the pseudo-springs, described by Lemes et al (2017c) as:…”

Section: Force-displacement Relationshipmentioning

confidence: 99%

“…This part refers to the consideration of geometric nonlinearity, which is introduced in this methodology through a simplified formulation proposed by Yang and Kuo (1994). The option to define simplified terms was made by previous numerical studies, where high order terms had little influence on the global response of the small-sized RC systems simulated (Lemes et al, 2017c).…”

Section: Force-displacement Relationshipmentioning

confidence: 99%

“…Thus, these curves are constructed by a series of ordered pairs NM. Once the structural analysis has been initiated, it is necessary to know the value of reduced bending moments, Mpr, Mer, and Mcr for a given value of axial force, N. Thus, any point on the interaction curve shown in Figure 9 can be obtained by linear interpolation (Lemes et al, 2017c). Figure 9: Arbitrary interaction curve points (bending moment, axial force)…”

Section: Interaction Curvesmentioning

confidence: 99%

“…In contrast, there is the Refined Plastic Hinge Method (RPHM), which considers plasticity only at the nodal points of the element. Even though it is simpler, recent research has demonstrated that RPHM presents considerable accuracy in numerical responses (Liu et al 2012b;Fong and Chan, 2012;Lemes et al, 2016, Lemes et al, 2017a, Lemes et al, 2017b, Lemes et al, 2017c. The classical RPHM approach starts from a hybrid finite element with pseudo springs at the element ends whereby the stiffness degradation of these springs is responsible for the simulation of the physical nonlinearity under the possibility of three regimes: linear-elastic, elastoplastic and plastic.…”

Section: Introductionmentioning

confidence: 99%

“…The linear-elastic regime contradicts the inherently nonlinear behavior of the concrete under compression, besides there are no considerations about the cracking in this methodology (Lemes et al, 2017b). In order to correct such problems, Lemes et al (2017c) proposed the SCM/RPHM coupling, where both the bearing capacity and the stiffness were accurately evaluated, improving the accuracy of the concentrated plasticity-based analysis.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Numerical analysis of RC plane structures: a concentrated nonlinear effect approach

Lemes

Barros

Silveira

et al. 2018

Lat. Am. j. solids struct.

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The present work aims to study the nonlinear behavior of reinforced concrete structures via Refined Plastic Hinge Method (RPHM). Pseudo-springs are used at the finite element ends, where the gradual loss of stiffness is determined by the combination of the normal force and bending moment (NM) in the cross section. The limiting of the uncracked, elastic and plastic regimes is done in the NM diagram. The concrete cracking is explicitly simulated with two approaches to calculate the effective moment of inertia of the cross section. The displacement-based formulation is referenced to the co-rotational system and coupled with continuation strategies to allow to overcome the possible critical points in the equilibrium paths. For validation of the numerical simulations, the results found with the proposed formulation are confronted with experimental and numerical data present in literature.

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“…The terms k11, k22, k23, k32, and k33 are components of the beam-column stiffness matrix element, without the pseudo-springs, described by Lemes et al (2017c) as:…”

Section: Force-displacement Relationshipmentioning

confidence: 99%

Section: Force-displacement Relationshipmentioning

confidence: 99%

Section: Interaction Curvesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Numerical analysis of RC plane structures: a concentrated nonlinear effect approach

Lemes

Barros

Silveira

et al. 2018

Lat. Am. j. solids struct.

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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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Advanced Numerical Study of Composite Steel‐Concrete Structures at High Temperature

Barros¹,

Silveira²,

Pires³

et al. 2021

ce papers

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The composite steel‐concrete structures use has several advantages, such as the reduction of cross‐sectional dimensions and weight of the structure, which is one of the main reasons for it is use today. However, under fire situation, the material and mechanical properties changes, causing significant strength and stiffness loss as a result of temperature rise. In this work, the temperature influence on the behavior of composite steel‐concrete structures is studied through an inelastic second order (ISO) numerical investigation. For this, two computational modules, CS‐ASA/FA and CS‐ASA/FSA are developed and adapted for the study of composite structures in fire. The first module calculates the temperature field in any cross‐section. The second module performs the ISO analysis through the coupling between the Refined Plastic Hinge Method (RPHM) and the Strain Compatibility Method (MCD). In this way, the evolution of the temperature in cross‐sections, the interaction diagrams between axial force and bending moment and the structures equilibrium path as a function of the time in fire are presented for composite steel‐concrete beams, columns and frames. The proposed numerical methodology success is proved by comparison with experimental and numerical responses available in the literature.

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Nonlinear analysis of two-dimensional steel, reinforced concrete and composite steel-concrete structures via coupling SCM/RPHM

Cited by 15 publications

References 31 publications

Numerical analysis of RC plane structures: a concentrated nonlinear effect approach

Numerical analysis of RC plane structures: a concentrated nonlinear effect approach

Concentrated Approaches for Nonlinear Analysis of Composite Beams with Partial Interaction

Advanced Numerical Study of Composite Steel‐Concrete Structures at High Temperature

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