Journal ArticleDOI
A unified formulation of small-strain corotational finite elements: I. Theory
Carlos A. Felippa,Bjørn Haugen +1 more
TLDR
A unified theoretical framework for the corotational (CR) formulation of finite elements in geometrically nonlinear structural analysis is presented in this paper, which permits the derivation of a set of CR variants through selective simplifications.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2005-06-10. It has received 389 citations till now. The article focuses on the topics: Tangent stiffness matrix & Stiffness matrix.read more
Citations
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Journal ArticleDOI
The Theory of Matrices. By F R. Gantmacher. Two volumes, pp. 374 and 276. 1959. (Translated from the Russian by K. A. Hirsch; Chelsea Publishing Company, New York)
Book
The collected works
TL;DR: A review of the collected works of John Tate can be found in this paper, where the authors present two volumes of the Abel Prize for number theory, Parts I, II, edited by Barry Mazur and Jean-Pierre Serre.
Journal ArticleDOI
Nonlinear finite element analysis of solids and structures by M.A. Crisfield
Journal ArticleDOI
Phase-field analysis of finite-strain plates and shells including element subdivision
Pedro M. A. Areias,Pedro M. A. Areias,Timon Rabczuk,Timon Rabczuk,Mohammed A. Msekh,Mohammed A. Msekh +5 more
TL;DR: In this paper, a phase-field model of crack regularization was proposed for elastic and elasto-plastic materials, where two independent phase fields correspond to the lower and upper faces of the shell.
Book ChapterDOI
Chrono: An Open Source Multi-physics Dynamics Engine
Alessandro Tasora,Radu Serban,Hammad Mazhar,Arman Pazouki,Daniel Melanz,Jonathan A. Fleischmann,Michael R. Taylor,Hioyuki Sugiyama,Dan Negrut +8 more
TL;DR: An overview of a multi-physics dynamics engine called Chrono, which has been recently augmented to support the modeling of fluid-solid interaction problems and linear and nonlinear finite element analysis (FEA).
References
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Book
The Theory of Matrices
TL;DR: In this article, the Routh-Hurwitz problem of singular pencils of matrices has been studied in the context of systems of linear differential equations with variable coefficients, and its applications to the analysis of complex matrices have been discussed.
Book
Finite element procedures in engineering analysis
Klaus-Jürgen Bathe,H. Saunders +1 more
TL;DR: Elements finis Reference Record created on 2004-09-07, modified on 2016-08-08.
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