Open AccessBook
Non-Linear Finite Element Analysis of Solids and Structures
de R René Borst,Mike A. Crisfield,Joris J.C. Remmers,Clemens V. Verhoosel +3 more
- 15 Aug 1991
2.8K
TL;DR: De Borst et al. as discussed by the authors present a condensed version of the original book with a focus on non-linear finite element technology, including nonlinear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity.
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Abstract: Built upon the two original books by Mike Crisfield and their own lecture notes, renowned scientist Rene de Borst and his team offer a thoroughly updated yet condensed edition that retains and builds upon the excellent reputation and appeal amongst students and engineers alike for which Crisfield's first edition is acclaimed. Together with numerous additions and updates, the new authors have retained the core content of the original publication, while bringing an improved focus on new developments and ideas. This edition offers the latest insights in non-linear finite element technology, including non-linear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity. The authors' integrated and consistent style and unrivalled engineering approach assures this book's unique position within the computational mechanics literature.
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Citations
Numerically generated tangent stiffness matrices for nonlinear structural analysis
Yongjoo Lee,K. C. Park +1 more
TL;DR: In this article, an accurate numerical procedure for the generation of tangent stiffness matrices from the internal force generation modules is presented. But this procedure is not suitable for problems that require complex constitutive relations and/or kinematic nonlinearities whose models are difficult to linearize.
16
Hybrid-mixed stress finite element models in elastoplastic analysis
TL;DR: In this paper, a hybrid-mixed stress finite element formulation for the elastoplastic analysis of stretching plates is presented, characterized by the simultaneous and independent approximation of both the stress and the displacement fields in the domain and of the displacement field on the static boundary.
16
Design of Postbuckled Spinal Structures for Airfoil Camber and Shape Control
TL;DR: In this paper, the use of shape definition schemes to design spinal structures for the control of deformable airfoils is examined, where the aim is to find strcutures that, when suitably loaded, can be used to alter the aerodynamic properties of a cladding that forms the airfoil, thus obviating the need for flaps or ailerons.
Dynamic behavior of composite ship structures (DYCOSS). Failure prediction tool
Paul Lemmen,G.J. Meijer,E.A. Rasmussen +2 more
- 01 Jan 1999
TL;DR: In this paper, methods for modeling progressive failure in dynamically loaded ship huil structures of laminated composite materials are presented, with a focus on joints, as these are the most susceptible to failure.
16
Effect of discretization at laboratory and large scales during discrete element modelling of brittle failure
TL;DR: In this paper, the authors investigated the mode I fracture propagation in brittle rocks using numerical simulations based on the discrete element method, which includes the ability for near neighbour interactions to occur so as to control the density of interparticle bonds in the medium, and thus ensures the non-dependence of the model's predictions with respect to its discretization.
16
References
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The mathematical theory of plasticity
Rodney Hill
- 01 Jan 1950
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
8.3K
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Numerical methods for unconstrained optimization and nonlinear equations
John E. Dennis,Robert B. Schnabel +1 more
- 01 Mar 1983
TL;DR: Newton's Method for Nonlinear Equations and Unconstrained Minimization and methods for solving nonlinear least-squares problems with Special Structure.
8.2K
Yielding of steel sheets containing slits
TL;DR: In this article, a relation between extent of plastic yielding and external load applied was investigated, and panels containing internal and edge slits were loaded in tension and lengths of plastic zones were measured.
7.6K
Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements
Arne Hillerborg,Mats Modéer,Per-Erik Petersson +2 more
- 01 Jan 2008
TL;DR: In this article, fracture mechanics is introduced into finite element analysis by means of a model where stresses are assumed to act across a crack as long as it is narrowly opened, which may be regarded as a way of expressing the energy adsorption in the energy balance approach.
6K
•Book
Mechanics of Solid Materials
Jean Lemaitre,Jean-Louis Chaboche +1 more
- 28 Sep 1990
TL;DR: In this article, the physical mechanisms of deformation and fracture are discussed, including linear elasticity, thermo-elasticity, and viscoelastic properties of real solids.
4K
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