### Resumé

Originalsprog | Engelsk |
---|---|

Titel | Automated Solution of Differential Equations by the Finite Element Method : The FEniCS Book |

Redaktører | Anders Logg, Kent-Andre Mardal, Garth Wells |

Vol/bind | 84 |

Publikationsdato | 4 feb. 2012 |

Sider | 505-524 |

Kapitel | 26 |

ISBN (Trykt) | 978-3-642-23098-1 |

ISBN (Elektronisk) | 978-3-642-23099-8 |

Status | Udgivet - 4 feb. 2012 |

Navn | Lecture Notes in Computational Science and Engineering |
---|---|

Vol/bind | 84 |

ISSN | 1439-7358 |

### Fingerprint

### Emneord

- Solid Mechanics
- Finite Element
- Lagrangian Setting

### Citer dette

*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

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*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.

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Bidrag til bog/antologi › Undervisning › peer review

TY - CHAP

T1 - Applications in solid mechanics

AU - Ølgaard, Kristian Breum

AU - Wells, Garth N.

PY - 2012/2/4

Y1 - 2012/2/4

N2 - 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.

AB - 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.

KW - Solid Mechanics

KW - Finite Element

KW - Lagrangian Setting

KW - Solid Mechanics

KW - Finite Element

KW - Lagrangian Setting

M3 - Book chapter

SN - 978-3-642-23098-1

VL - 84

SP - 505

EP - 524

BT - Automated Solution of Differential Equations by the Finite Element Method

A2 - Logg, Anders

A2 - Mardal, Kent-Andre

A2 - Wells, Garth

ER -