Journal ArticleDOI
Finite rotation analysis and consistent linearization using projectors
B. Nour-Omid,C.C. Rankin +1 more
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This paper proves that using the symmetric part of the tangent matrix, the Newton iteration retains its quadratic rate of convergence, and demonstrates that it is possible to analyze structures undergoing large rotations within a general co-rotational framework, using simple and economical finite elements.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1991-12-01. It has received 274 citations till now. The article focuses on the topics: Tangent stiffness matrix & Matrix (mathematics).read more
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A unified formulation of small-strain corotational finite elements: I. Theory
Carlos A. Felippa,Bjørn Haugen +1 more
TL;DR: 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.
Journal ArticleDOI
Reliability-based design of MEMS mechanisms by topology optimization
Kurt Maute,Dan M. Frangopol +1 more
TL;DR: In this paper, a methodology for the design of micro-electro-mechanical systems (MEMS) by topology optimization accounting for stochastic loading and boundary conditions as well as material properties is presented.
Journal ArticleDOI
Co-rotational beam elements with warping effects in instability problems
Jean-Marc Battini,Costin Pacoste +1 more
TL;DR: In this paper, a 3D co-rotational beam element for the analysis of frame structures is proposed for the buckling and post-buckling analysis of the frame structures.
Proceedings ArticleDOI
Real-time deformation and fracture in a game environment
Eric G. Parker,James F. O'Brien +1 more
TL;DR: An engine that is robust to unpredictable user interactions, fast enough to model reasonable scenarios at real-time speeds, suitable for use in the design of a game level, and with appropriate controls allowing content creators to match artistic direction is described.
References
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Journal ArticleDOI
A three-dimensional finite-strain rod model. Part II: Computational aspects
Juan C. Simo,Loc Vu-Quoc +1 more
TL;DR: In this article, a variational formulation and computational aspects of a three-dimensional finite-strain rod model, considered in Part I, are presented, which bypasses the singularity typically associated with the use of Euler angles.
Journal ArticleDOI
Generalization of selective integration procedures to anisotropic and nonlinear media
TL;DR: In this paper, a finite element procedure is introduced for the analysis of nearly-incompressible media, which is applicable to arbitrary anisotropic and/or nonlinear media.
Journal ArticleDOI
Finite rotation effects in numerical integration of rate constitutive equations arising in large‐deformation analysis
Thomas J. R. Hughes,James Winget +1 more
TL;DR: In this article, an improved algorithm is presented for integrating rate constitutive equations in large deformation analysis, and the algorithm is shown to be "objective" with respect to large rotation increments.
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A three-dimensional finite-strain rod model. Part II: Computational aspects
Juan C. Simo,Loc Vu-Quoc +1 more