Results 11 to 20 of about 199,999 (313)
Finite elements mathematical model of geometric nonlinearity
Trudy Odesskogo Politehničeskogo Universiteta, 2015 The article considers the construction of a mathematical model for accounting the geometric nonlinearity at finite elements method. The built model takes into account the changes in system stiffness matrix when changing its shape. In quality of an object
Аnastasiya Yu. Bazhanova +2 more
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The Serendipity Family of Finite Elements [PDF]
Foundations of Computational Mathematics, 2011 We give a new, simple, dimension-independent definition of the serendipity finite element family. The shape functions are the span of all monomials which are linear in at least s-r of the variables where s is the degree of the monomial or, equivalently, whose superlinear degree (total degree with respect to variables entering at least quadratically) is
Douglas N. Arnold, Gerard Awanou
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Improved Thin-Walled Finite Curved Beam Elements
Advances in Mechanical Engineering, 2013 The two- and three-noded spatially coupled thin-walled finite curved beam elements are presented on the basis of assumed strain fields. These elements consider the extensional/inextensional conditions along the centroid axis of curved beam.
Nam-Il Kim, Chan-Ki Jeon
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Direct determination of shape functions for isoparametric elements with arbitrary node configuration
Open Engineering, 2015 Shape functions have been derived to describe different forms of elements, notably triangles and rectangles in 2-D, and tetrahedrons, cuboids, and triangular prisms in 3-D.
Hoth Julian, Kowalczyk Wojciech
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Polynomial representation of hybrid finite elements
Computer Assisted Methods in Engineering and Science, 2023 We introduce the hybrid-Trefftz FE formulations for linear statics of solids as well as for linear (slow velocity) steady fluid dynamics. Moving least square procedure is given to obtain continuous secondary fields (such as stresses for solids), which ...
Vladimír Kompiš, Lubor Fraštia
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Solution representations for Trefftz-type finite elements
Computer Assisted Methods in Engineering and Science, 2023 Solution representations are available for several differential equations. For elasticity problems some of the solution representations are considered in this paper.
Reinhard Piltner
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Finite Dynamic Elements and Modal Analysis
Shock and Vibration, 1993 A general modal analysis scheme is derived for forced response that makes use of high accuracy modes computed by the dynamic element method. The new procedure differs from the usual modal analysis in that the modes are obtained from a power series ...
N.J. Fergusson, W.D. Pilkey
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Resolving Boundary Layers with Harmonic Extension Finite Elements
Mathematical and Computational Applications, 2022 In recent years, the standard numerical methods for partial differential equations have been extended with variants that address the issue of domain discretisation in complicated domains.
Harri Hakula
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Finite element simulation of sheet metal forming processes using non-quadratic anisotropic plasticity models and solid-Shell finite elements [PDF]
, 2020 During the last decades, a family of assumed-strain solid-shell finite elements has been developed with enriched benefits of solid and shell finite elements together with special treatments to avoid locking phenomena. These elements have been shown to be
YOUNAS, Nabeel +2 more
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Finite groups with 4p2q elements of maximal order
Open Mathematics, 2021 It is an interesting and difficult topic to determine the structure of a finite group by the number of elements of maximal order. This topic is related to Thompson’s conjecture, that is, if two finite groups have the same order type and one of them is ...
Tan Sanbiao, Chen Guiyun, Yan Yanxiong
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