A geometric and material nonlinear plate and shell element

Bathe, Klaus‐Jürgen; Bolourchi, Saïd

doi:10.1016/0045-7949(80)90144-3

Cited by 218 publications

(45 citation statements)

References 7 publications

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“…The strain tensor at any point in the element is, transverse shear strains where g', g', g' are the contravariant base vectors corresponding to the covariant base vectors g,, g,, gt, which are evaluated as given in equation (4). The appropriate interpolation of the in-layer strains and of the transverse shear strains to satisfy our shell element requirements as closely as possible is the key aspect of our element formulation.…”

Section: Higher-order Elements-an Eight-node Elementmentioning

confidence: 99%

“…For the analytical patch test in bending we consider a single general quadrilateral flat element with nodal point co-ordinates xt, xk,, k = 1, 2, 3, 4 and constant thickness h. This is one of the elements shown in Figure 1. Our objective is to study analytically how this element behaves and whether when placed into the patch of Figure 1, the patch test is passed.…”

Section: [ + a R T T % L + A L -mentioning

confidence: 99%

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A formulation of general shell elements—the use of mixed interpolation of tensorial components

Bathe¹,

Dvorkin²

1986

Numerical Meth Engineering

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725

313

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SUMMARYWe briefly discuss the requirements on general shell elements for linear and nonlinear analysis in practical engineering environments, and present our approach to meet these needs. We summarize and give further insight into our formulation of a 4-node shell element using a mixed interpolation of tensorial components, and present a new 8-node element using this approach. Specific attention is given to the general applicability of the elements and their efficient use in practice.

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Section: Higher-order Elements-an Eight-node Elementmentioning

confidence: 99%

Section: [ + a R T T % L + A L -mentioning

confidence: 99%

A formulation of general shell elements—the use of mixed interpolation of tensorial components

Bathe¹,

Dvorkin²

1986

Numerical Meth Engineering

Self Cite

725

313

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show abstract

“…The procedure to achieve the elastic and geometric stiffness matrices for the sixteen-node shell element is presented in Bathe and Bolourchi (1982).…”

Section: Nonlinear Finite Element Analysismentioning

confidence: 99%

Seismic performance assessment of buildings with cold-formed steel shear wall panels

Martínez¹,

Xu²,

Liu³

2015

Proceedings of the Second International Conference on Performance-Based and Life-Cycle Structural Engineering (PLSE 2015)

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Presented in this paper is a method for seismic performance assessment of cold-formed steel buildings built with shear wall panels as the lateral load resisting system. In the proposed method, performance-based design philosophy is adopted to assess the seismic performance for the cold-formed steel framing system. The structural responses of cold-formed steel buildings are obtained from a simplified finite element based on pushover analysis developed in this study with accounting for the nonlinear behaviour of shear wall panels. A practical example is presented to illustrate the effectiveness of the proposed method. The results from the proposed method are compared to results obtained from the conventional analysis. Issues associated with performance-based design of cold-formed steel buildings are discussed. KEYWORDSPerformance-based design, seismic performance assessment, cold-formed steel, shear wall panels, nonlinear pushover analysis.

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“…1 gives an illustration of the element. The interpolation function used for the geometry is given by tX i-L1 (hk) (tX)+ n (hk) (a) tV97i (4) where tX k=global coordinate of node k, tXI global coordinate at a generic point on the shell, hk=shape function on r-s plane associated with node k, a=thickness of the shell, t Vn. component i of the unit normal vector, t j i to the mid-surface of the element at node Jg.…”

Section: Isoparametric Formulationmentioning

confidence: 99%

An Elasto-Plastic Large Deformation Analysis of Compressed Cylindrical Shells With Initial Imperfections

Gunawardena

Usami

1990

Doboku Gakkai Ronbunshu

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The behavior of axially loaded cylindrical shells is studied using a general purpose non-linear shell element. The well-known nine-node degenerated shell element was selected among the variety of shell finite elements proposed and developed in the past by several researchers, because it satisfies all the compatibility conditions between adjacent elements directly and gives accurate results. The behavior of axially loaded cylindrical shells are observed through computations of some fabricated pipes which were tested in Nagoya University. The measured initial imperfections are included in the calculations. The effects of initial imperfections on the cylinder strength are also discussed,

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A geometric and material nonlinear plate and shell element

Cited by 218 publications

References 7 publications

A formulation of general shell elements—the use of mixed interpolation of tensorial components

A formulation of general shell elements—the use of mixed interpolation of tensorial components

Seismic performance assessment of buildings with cold-formed steel shear wall panels

An Elasto-Plastic Large Deformation Analysis of Compressed Cylindrical Shells With Initial Imperfections

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