Applications in solid mechanics

Kristian Breum Ølgaard, Garth N. Wells

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Resumé

Problems in solid mechanics constitute perhaps the largest field of application of finite element methods. The vast majority of solid mechanics problems involve the standard momentum balance equation, posed in a Lagrangian setting, with different models distinguished by the choice of nonlinear or linearized kinematics, and the constitutive model for determining the stress. For some common models, the constitutive relationships are rather complex. This chapter addresses a number of canonical solid mechanics models in the context of automated modeling, and focuses on some pertinent issues that arise due to the nature of the constitutive models. The solution of equations with second-order time derivatives, which characterizes dynamic problems, is also considered.
OriginalsprogEngelsk
TitelAutomated Solution of Differential Equations by the Finite Element Method : The FEniCS Book
RedaktørerAnders Logg, Kent-Andre Mardal, Garth Wells
Vol/bind84
Publikationsdato4 feb. 2012
Sider505-524
Kapitel26
ISBN (Trykt)978-3-642-23098-1
ISBN (Elektronisk)978-3-642-23099-8
StatusUdgivet - 4 feb. 2012
NavnLecture Notes in Computational Science and Engineering
Vol/bind84
ISSN1439-7358

Fingerprint

mechanics
finite element method
momentum
kinematics
modeling

Emneord

  • Solid Mechanics
  • Finite Element
  • Lagrangian Setting

Citer dette

Ølgaard, K. B., & Wells, G. N. (2012). Applications in solid mechanics. I A. Logg, K-A. Mardal, & G. Wells (red.), Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book (Bind 84, s. 505-524). Lecture Notes in Computational Science and Engineering, Bind. 84
Ølgaard, Kristian Breum ; Wells, Garth N. / Applications in solid mechanics. Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book. red. / Anders Logg ; Kent-Andre Mardal ; Garth Wells. Bind 84 2012. s. 505-524 (Lecture Notes in Computational Science and Engineering, Bind 84).
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Ølgaard, KB & Wells, GN 2012, Applications in solid mechanics. i A Logg, K-A Mardal & G Wells (red), Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book. bind 84, Lecture Notes in Computational Science and Engineering, bind 84, s. 505-524.

Applications in solid mechanics. / Ølgaard, Kristian Breum; Wells, Garth N.

Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book. red. / Anders Logg; Kent-Andre Mardal; Garth Wells. Bind 84 2012. s. 505-524 (Lecture Notes in Computational Science and Engineering, Bind 84).

Publikation: Bidrag til bog/antologi/rapport/konference proceedingBidrag til bog/antologiUndervisningpeer review

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Ølgaard KB, Wells GN. Applications in solid mechanics. I Logg A, Mardal K-A, Wells G, red., Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book. Bind 84. 2012. s. 505-524. (Lecture Notes in Computational Science and Engineering, Bind 84).