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This book presents a modern continuum mechanics and mathematical
framework to study shell physical behaviors, and to formulate and
evaluate finite element procedures. With a view towards the synergy
that results from physical and mathematical understanding, the book
focuses on the fundamentals of shell theories, their mathematical
bases and finite element discretizations. The complexity of the
physical behaviors of shells is analysed, and the difficulties to
obtain uniformly optimal finite element procedures are identified
and studied. Some modern finite element methods are presented for
linear and nonlinear analyses. In this Second Edition the authors
give new developments in the field and - to make the book more
complete - more explanations throughout the text, an enlarged
section on general variational formulations and new sections on
3D-shell models, dynamic analyses, and triangular elements. The
analysis of shells represents one of the most challenging fields in
all of mechanics, and encompasses various fundamental and generally
applicable components. Specifically, the material presented in this
book regarding geometric descriptions, tensors and mixed
variational formulations is fundamental and widely applicable also
in other areas of mechanics.
This book presents a modern continuum mechanics and mathematical
framework to study shell physical behaviors, and to formulate and
evaluate finite element procedures. With a view towards the synergy
that results from physical and mathematical understanding, the book
focuses on the fundamentals of shell theories, their mathematical
bases and finite element discretizations. The complexity of the
physical behaviors of shells is analysed, and the difficulties to
obtain uniformly optimal finite element procedures are identified
and studied. Some modern finite element methods are presented for
linear and nonlinear analyses. In this Second Edition the authors
give new developments in the field and - to make the book more
complete - more explanations throughout the text, an enlarged
section on general variational formulations and new sections on
3D-shell models, dynamic analyses, and triangular elements. The
analysis of shells represents one of the most challenging fields in
all of mechanics, and encompasses various fundamental and generally
applicable components. Specifically, the material presented in this
book regarding geometric descriptions, tensors and mixed
variational formulations is fundamental and widely applicable also
in other areas of mechanics.
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