Presents a Systematic Approach for Modeling Mechanical Models
Using Variational Formulation Uses Real-World Examples and
Applications of Mechanical Models
Utilizing material developed in a classroom setting and tested
over a 12-year period, Computational Solid Mechanics: Variational
Formulation and High-Order Approximation details an approach that
establishes a logical sequence for the treatment of any mechanical
problem. Incorporating variational formulation based on the
principle of virtual work, this text considers various aspects of
mechanical models, explores analytical mechanics and their
variational principles, and presents model approximations using the
finite element method. It introduces the basics of mechanics for
one-, two-, and three-dimensional models, emphasizes the
simplification aspects required in their formulation, and provides
relevant applications.
"
Introduces Approximation Concepts Gradually throughout the
Chapters"
Organized into ten chapters, this text provides a clear
separation of formulation and finite element approximation. It
details standard procedures to formulate and approximate models,
while at the same time illustrating their application via software.
Chapter one provides a general introduction to variational
formulation and an overview of the mechanical models to be
presented in the other chapters. Chapter two uses the concepts on
equilibrium that readers should have to introduce basic notions on
kinematics, duality, virtual work, and the PVW. Chapters three to
ten present mechanical models, approximation and applications to
bars, shafts, beams, beams with shear, general two- and
three-dimensional beams, solids, plane models, and generic torsion
and plates.
"
Learn Theory Step by Step"
In each chapter, the material profiles all aspects of a specific
mechanical model, and uses the same sequence of steps for all
models. The steps include kinematics, strain, rigid body
deformation, internal loads, external loads, equilibrium,
constitutive equations, and structural design.
The text uses MATLAB(r) scripts to calculate analytic and
approximated solutions of the considered mechanical models.
Computational Solid Mechanics: Variational Formulation and High
Order Approximation presents mechanical models, their main
hypothesis, and applications, and is intended for graduate and
undergraduate engineering students taking courses in solid
mechanics."
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