Eighty years of the finite element method: Birth, evolution, and future

WK Liu, S Li, HS Park - Archives of Computational Methods in …, 2022 - Springer
This document presents comprehensive historical accounts on the developments of finite
element methods (FEM) since 1941, with a specific emphasis on developments related to …

Smoothed finite element methods (S-FEM): an overview and recent developments

W Zeng, GR Liu - Archives of Computational Methods in Engineering, 2018 - Springer
The smoothed finite element methods (S-FEM) are a family of methods formulated through
carefully designed combinations of the standard FEM and some of the techniques from the …

[图书][B] Mixed finite element methods and applications

D Boffi, F Brezzi, M Fortin - 2013 - Springer
About 10 years ago, Mixed and Hybrid Finite Element Methods by F. Brezzi and M. Fortin
went out of print and we were asked to allow a second printing. The world had evolved and …

[图书][B] Mechanics of laminated composite plates and shells: theory and analysis

JN Reddy - 2003 - books.google.com
The second edition of this popular text provides complete, detailed coverage of the various
theories, analytical solutions, and finite element models of laminated composite plates and …

[图书][B] The finite element method: linear static and dynamic finite element analysis

TJR Hughes - 2003 - books.google.com
This text is geared toward assisting engineering and physical science students in cultivating
comprehensive skills in linear static and dynamic finite element methodology. Based on …

A class of mixed assumed strain methods and the method of incompatible modes

JC Simo, MS Rifai - International journal for numerical methods …, 1990 - Wiley Online Library
A three‐field mixed formulation in terms of displacements, stresses and an enhanced strain
field is presented which encompasses, as a particular case, the classical method of …

[图书][B] Smoothed finite element methods

GR Liu, N Trung - 2016 - books.google.com
Drawing on the authors' extensive research results, this book presents the theoretical
framework and development of various S-FEM models. It discusses the overall modeling …

A three-dimensional finite-strain rod model. Part II: Computational aspects

JC Simo, L Vu-Quoc - Computer methods in applied mechanics and …, 1986 - Elsevier
The variational formulation and computational aspects of a three-dimensional finite-strain
rod model, considered in Part I, are presented. A particular parametrization is employed that …

A four‐node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation

KJ Bathe, EN Dvorkin - International Journal for Numerical …, 1985 - Wiley Online Library
This communication discusses a 4‐node plate bending element for linear elastic analysis
which is obtained, as a special case, from a general nonlinear continuum mechanics based …

A formulation of general shell elements—the use of mixed interpolation of tensorial components

KJ Bathe, EN Dvorkin - International journal for numerical …, 1986 - Wiley Online Library
We briefly discuss the requirements on general shell elements for linear and nonlinear
analysis in practical engineering environments, and present our approach to meet these …