@inbook{f53ae54ea6544391a58afc070fe26b76,
title = "Applications in solid mechanics",
abstract = "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.",
keywords = "Solid Mechanics, Finite Element, Lagrangian Setting, Solid Mechanics , Finite Element, Lagrangian Setting",
author = "{\O}lgaard, {Kristian Breum} and Wells, {Garth N.}",
year = "2012",
month = feb,
day = "4",
language = "English",
isbn = "978-3-642-23098-1",
volume = "84",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Physica-Verlag",
pages = "505--524",
editor = "Anders Logg and Kent-Andre Mardal and Garth Wells",
booktitle = "Automated Solution of Differential Equations by the Finite Element Method",
}