Explicit Inelastic Stiffness for Beam Elements with Uniform and Nonuniform Cross Sections

Leu, Liang‐Jenq; Yang, Judy P.; Tsai, Min Hsuan; Yang, Yeong Bin

doi:10.1061/(asce)0733-9445(2008)134:4(608)

Cited by 6 publications

(3 citation statements)

References 18 publications

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“…A weakness of this method was found in cyclic loading as the displacement method usually fails when passing beyond the structure's yield point. A displacement control method was implemented to overcome this difficulty [1,2,21].…”

Section: Concentrated Inelastic Method: Historical Developmentmentioning

confidence: 99%

“…This means the final solution is either equal to, or very slightly higher than the minimum possible theoretical energy for the structure. Consequently, the final numerical prediction is usually a very slight overestimation compared to both the theoretical and also the actual stiffness of the structure [2]. This is the case for all elements implemented using a displacement based solution strategy, including hinge elements [3].…”

Section: Introductionmentioning

confidence: 99%

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

Biglari

Harrison

Bícanić

2014

Computers & Structures

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Section: Concentrated Inelastic Method: Historical Developmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Biglari

Harrison

Bícanić

2014

Computers & Structures

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“…Then the room-temperature displacement interpolation function can be adopted at high temperature [12][13][14][15] .…”

Section: Displacement Interpolation Functionmentioning

confidence: 99%

Stiffness matrix derivation of space beam element at elevated temperature

Yang

Zhao

Gong

2010

J. Shanghai Jiaotong Univ. (Sci.)

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Element stiffness equation is very important in structural analysis, and directly influences the accuracy of the results. At present, derivation method of element stiffness equation is relatively mature under ambient temperature, and the elastic phrase of material stress-strain curve is generally adopted as physical equation in derivation. However, the material stress-strain relationship is very complicated at elevated temperature, and its form is not unique, which brings great difficulty to the derivation of element stiffness equation. Referring to the derivation method of element stiffness equation at ambient temperature, by using the continuous function of stress-strain-temperature at elevated temperature, and based on the principle of virtual work, the stiffness equation of space beam element and the formulas of stiffness matrix are derived in this paper, which provide basis for finite element analysis on structures at elevated temperature.

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A distributed plasticity model to simulate the biaxial behaviour in the nonlinear analysis of spatial framed structures

Mazza

2014

Computers & Structures

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Explicit Inelastic Stiffness for Beam Elements with Uniform and Nonuniform Cross Sections

Cited by 6 publications

References 18 publications

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

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

Stiffness matrix derivation of space beam element at elevated temperature

A distributed plasticity model to simulate the biaxial behaviour in the nonlinear analysis of spatial framed structures

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