Slip locking in finite elements for composite beams with deformable shear connection

Dall’Asta, Andrea; Zona, Alessandro

doi:10.1016/j.finel.2004.01.007

Cited by 67 publications

(53 citation statements)

References 13 publications

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“…The numerical simulation is made by the Finite Element Method (FEM), using an element with ten degrees of freedom, as used in the work of Dall'Asta and Zona (2004a), Silva (2006) and Oliveira (2009) for static analysis, which was adapted to solve dynamic analysis problems. The element used is based on Euler-Bernoulli's beam theory and considers the slip incorporated into its formulation.…”

Section: Latin American Journal Of Solids and Structures 14 (2017) 33mentioning

confidence: 99%

Parametric Modal Dynamic Analysis of Steel-Concrete Composite Beams with Deformable Shear Connection

Machado

Neves

Júnior

2017

Lat. Am. j. solids struct.

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Composite structural elements of steel-concrete began to be used only in 1960 after the development of methods and constructive dispositions that ensured the functionality of these two materials together. In order to verify the importance of the participation of the axial mode in the frequency spectrum of the free vibration problem in composite beams with deformable shear connection, several analyses for 4 different boundary conditions and stiffness connection variation were performed. The analysis of the problem was carried out by development and computational implementation of a finite element for composite beams with partial interaction in the longitudinal direction applied to the problem of free vibrations. The solutions to this problem in the literature are scarce, and project recommendations are simplified. The results show that the finite element exhibits an excellent performance compared with the analytical results and as the axial mode has a high modal contribution, despite the boundary condition and stiffness connection.

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Section: Latin American Journal Of Solids and Structures 14 (2017) 33mentioning

confidence: 99%

Parametric Modal Dynamic Analysis of Steel-Concrete Composite Beams with Deformable Shear Connection

Machado

Neves

Júnior

2017

Lat. Am. j. solids struct.

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“…Nonlinear analysis and linear elastic analysis of the engineering problems under more general circumstances have to resort to numerical tools 5-18 among which the finite element method FEM appears to be widely used 5-7 . It is well known that low-order finite element models of composite beams experience the so-called "slip locking" phenomenon for large values of the shear connection stiffness [8][9][10] . Possible strategies in finite element analysis to reduce or even to eliminate slip locking are lowering the degree of interpolation functions for the slip or introducing elements with larger numbers of degrees of freedom.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Static and Vibrational Analysis of Partially Composite Beams Using the Weak-Form Quadrature Element Method

Shen

Zhong

2012

Mathematical Problems in Engineering

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Deformation of partially composite beams under distributed loading and free vibrations of partially composite beams under various boundary conditions are examined in this paper. The weak-form quadrature element method, which is characterized by direct evaluation of the integrals involved in the variational description of a problem, is used. One quadrature element is normally sufficient for a partially composite beam regardless of the magnitude of the shear connection stiffness. The number of integration points in a quadrature element is adjustable in accordance with convergence requirement. Results are compared with those of various finite element formulations. It is shown that the weak form quadrature element solution for partially composite beams is free of slip locking, and high computational accuracy is achieved with smaller number of degrees of freedom. Besides, it is found that longitudinal inertia of motion cannot be simply neglected in assessment of dynamic behavior of partially composite beams.

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“…Compared to common monolithic beams, composite beams with deformable shear connection raise more challenging modeling and numerical difficulties, e.g., complex distributions of the interface slip and force can develop [29] and special measures are necessary to avoid shear-locking phenomena [30]. Despite some difficulties, three-field mixed elements [23] can be successfully adopted for numerical simulation of the behavior of steel-concrete composite beams, producing accurate global and local results when a proper discretization of the structure is used [31].…”

Section: Finite Element Modeling Of Steel-concrete Composite Frame Stmentioning

confidence: 99%

Finite element response sensitivity analysis using three‐field mixed formulation: general theory and application to frame structures

Barbato

Zona

Conte

2006

Numerical Meth Engineering

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SUMMARYThis paper presents a method to compute response sensitivities of finite element models of structures based on a three-field mixed formulation. The methodology is based on the Direct Differentiation Method (DDM), and produces the response sensitivities consistent with the numerical finite element response. The general formulation is specialized to frame finite elements and details related to a newly developed steelconcrete composite frame element are provided. DDM sensitivity results are validated through the forward Finite Difference Method (FDM) using a finite element model of a realistic steel-concrete composite frame subjected to quasi-static and dynamic loading. The finite element model of the structure considered is constructed using both monolithic frame elements and composite frame elements with deformable shear connection based on the three-field mixed formulation. The addition of the analytical sensitivity computation algorithm presented in this paper extends the use of finite elements based on a three-field mixed formulation to applications that require finite element response sensitivities. Such applications include structural reliability analysis, structural optimization, structural identification, and finite element model updating.KEY WORDS: Hu-Washizu functional; three-field mixed finite element formulation; material constitutive parameters; finite element response sensitivity; steel-concrete composite beam.

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Slip locking in finite elements for composite beams with deformable shear connection

Cited by 67 publications

References 13 publications

Parametric Modal Dynamic Analysis of Steel-Concrete Composite Beams with Deformable Shear Connection

Parametric Modal Dynamic Analysis of Steel-Concrete Composite Beams with Deformable Shear Connection

Static and Vibrational Analysis of Partially Composite Beams Using the Weak-Form Quadrature Element Method

Finite element response sensitivity analysis using three‐field mixed formulation: general theory and application to frame structures

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