Flexibility-based large increment method for analysis of elastic–perfectly plastic beam structures

Barham, Wasim S.; Aref, Amjad J.; Dargush, Gary F.

doi:10.1016/j.compstruc.2005.03.037

Cited by 12 publications

(11 citation statements)

References 9 publications

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“…Two versions of the distributed plasticity models can be found in literature: the stiffness (displacement based) [148] and flexibility (force based) methods [29,172,184]. The first one is based on the interpolation of the strain field along the elements.…”

Section: Rc Beam Structuresmentioning

confidence: 99%

Constitutive and Geometric Nonlinear Models for the Seismic Analysis of RC Structures with Energy Dissipators

Mata

Barbat

Oller

et al. 2008

Arch Computat Methods Eng

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Nowadays, the use of energy dissipating devices to improve the seismic response of RC structures constitutes a mature branch of the innovative procedures in earthquake engineering. However, even though the benefits derived from this technique are well known and widely accepted, the numerical methods for the simulation of the nonlinear seismic response of RC structures with passive control devices is a field in which new developments are continuously preformed both in computational mechanics and earthquake engineering. In this work, a state of the art of the advanced models for the numerical simulation of the nonlinear dynamic response of RC structures with passive energy dissipating devices subjected to seismic loading is made. The most commonly used passive energy dissipating devices are described, together with their dissipative mechanisms as well as with the numerical procedures used in modeling RC structures provided with such devices. The most important approaches for the formulation of beam models for RC structures are reviewed, with emphasis on the theory and numerics of formulations that consider both geometric and constitutive sources on nonlinearity. In the same manner, a more complete treatment is given to the constitutive nonlinearity in the context of fiber-like approaches including the corresponding cross sectional analysis. Special attention is paid to the use of damage indices able of estimating the remaining load carrying capacity of structures after a seismic action. Finally, nonlinear constitutive and geometric formulations for RC beam elements are examined, together with energy dissipating devices formulated as simpler beams with adequate constitutive laws. Numerical examples allow to illustrate the capacities of the presented formulations.

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Section: Rc Beam Structuresmentioning

confidence: 99%

Constitutive and Geometric Nonlinear Models for the Seismic Analysis of RC Structures with Energy Dissipators

Mata

Barbat

Oller

et al. 2008

Arch Computat Methods Eng

View full text Add to dashboard Cite

show abstract

“…The LIM has been used to analyse structures made of materials with elasto-perfectly plastic behaviour, though so far only for rectangular sections with asymmetric degrees of freedom, conducted by considering the shear force and moment at just one end of the element [14,35]. Flexibility coefficients describing elasto-perfectly plastic behaviour were proposed by , based on an axial force-moment yield surface [13,36].…”

Section: Large Increment Methodsmentioning

confidence: 99%

“…This method replaces calculation of the stiffness matrix based on either eigenvalues or through the complex integration procedure involved in Eq. (22); processes usually employed by previous researchers [13,48].…”

Section: Stiffness Matrixmentioning

confidence: 99%

“…To do this a force vector regulator function, ℎ 0 . , is defined following [13,14] and is used to iteratively modify f until the compatibility criterion, . ∆= is satisfied (shown at step 6 of Table 2).…”

Section: The Lim Solution Proceduresmentioning

confidence: 99%

“…The main goal of the current work is to use the CIM to develop a quasi-hinge element within the solution strategy of a force-based Large Increment Method (LIM) rather than a displacement based solution algorithm to involve inelastic behaviour. The LIM is a force-based solution strategy [13] and has been employed as the framework in which to implement the new element.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Quasi-hinge beam element implemented within the hybrid force-based method

Biglari

Harrison

Bícanić

2014

Computers & Structures

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Extremely large displacement dynamic analysis of elastic–plastic plane frames

Wang

Tsai

Lin

2011

Earthq Engng Struct Dyn

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This paper presents a numerical analysis of large displacement responses of elastic-plastic plane frames under static and dynamic loads, by applying the vector-form intrinsic finite element method. The VFIFE method defines the structure into a number of mass points, and applies Newton's second law and the internal force equilibrium to describe the motions of each mass point. By tracing the motions of all the mass points, it can analyze the large geometrical and material nonlinear changes during the motion of the structure without using the geometrical stiffness matrix and iterative procedures. Three different numerical examples are presented to demonstrate both the capability and the accuracy of the VFIFE method in a nonlinear dynamic analysis of frame structures with extremely large displacement.CR formulation based on a convected material frame. All of these methods are rather effective for analyzing the transient responses of structures made of inelastic materials and large deformation characteristics [9]. For nonlinear material structures, most of the existing nonlinear material models can be classified into two main categories: lumped and distributed plasticity models. The lumped model is an efficient way to represent inelasticity in frames. A typical finite element method (FEM) considering the geometrical and material nonlinearities requires iterations at each incremental step to achieve the equilibrium [10]. This method encourages flexural yielding and can ensure that plastic hinge rotation will occur at the member ends rather than along the column length. The second-order plastic hinge concept based on the use of stability interpolation functions has been proposed for frame structure analysis [11][12][13][14][15][16][17]. Marante et al. [18] proposed a general criterion of localization and two plastic hinges at the end of the frame member. Some researches improved the lumped plastic hinge method, such as for example the distributed plasticity model (also called plastic-zone model), which allows for the gradual spread of yielding within the member. In the distributed plasticity model, the frame element stiffness can be computed by using either the displacement [19] or the force-based approach [20][21][22]. This allows plastic hinges to form at any location in an element. In addition, the element cross-section can be a fiber section using different stressstrain models for different fibers within the cross-section. Without properly taking into account the internal forces due to pure deformations, most of these studies may not be able to simulate inelastic structural responses of moving structures subjected to extremely large displacements or deformations.Another type of method, the discrete numerical method is suitable to study large deformation, cracking and failure of structures. For example, the rigid-body spring model (RBSM) was proposed by Kawai and Kondou [23]. In this model, each element consists of rigid bodies with two springs, called normal and shear springs which allow the restoring forces to be ...

show abstract

Flexibility-based large increment method for analysis of elastic–perfectly plastic beam structures

Cited by 12 publications

References 9 publications

Constitutive and Geometric Nonlinear Models for the Seismic Analysis of RC Structures with Energy Dissipators

Constitutive and Geometric Nonlinear Models for the Seismic Analysis of RC Structures with Energy Dissipators

Quasi-hinge beam element implemented within the hybrid force-based method

Extremely large displacement dynamic analysis of elastic–plastic plane frames

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