A systematic introduction to the theories and formulations of
the explicit finite element method
As numerical technology continues to grow and evolve with
industrial applications, understanding the explicit finite element
method has become increasingly important, particularly in the areas
of crashworthiness, metal forming, and impact engineering.
"Introduction to the Explicit Finite" "Element Method for Nonlinear
Transient Dynamics "is the first book to address specifically what
is now accepted as the most successful numerical tool for nonlinear
transient dynamics. The book aids readers in mastering the explicit
finite element method and programming code without requiring
extensive background knowledge of the general finite element.
The authors present topics relating to the variational
principle, numerical procedure, mechanical formulation, and
fundamental achievements of the convergence theory. In addition,
key topics and techniques are provided in four clearly organized
sections:
- Fundamentals explores a framework of the explicit finite
element method for nonlinear transient dynamics and highlights
achievements related to the convergence theory
- Element Technology discusses four-node, three-node,
eight-node, and two-node element theories
- Material Models outlines models of plasticity and other
nonlinear materials as well as the mechanics model of ductile
damage
- Contact and Constraint Conditions covers subjects related to
three-dimensional surface contact, with examples solved
analytically, as well as discussions on kinematic constraint
conditions
Throughout the book, vivid figures illustrate the ideas and key
features of the explicit finite element method. Examples clearly
present results, featuring both theoretical assessments and
industrial applications.
"Introduction to the Explicit Finite Element Method for
Nonlinear Transient Dynamics "is an ideal book for both engineers
who require more theoretical discussions and for theoreticians
searching for interesting and challenging research topics. The book
also serves as an excellent resource for courses on applied
mathematics, applied mechanics, and numerical methods at the
graduate level.
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