This monograph presents the geometric foundations of continuum
mechanics. An emphasis is placed on increasing the generality and
elegance of the theory by scrutinizing the relationship between the
physical aspects and the mathematical notions used in its
formulation. The theory of uniform fluxes in affine spaces is
covered first, followed by the smooth theory on differentiable
manifolds, and ends with the non-smooth global theory. Because
continuum mechanics provides the theoretical foundations for
disciplines like fluid dynamics and stress analysis, the author’s
extension of the theory will enable researchers to better describe
the mechanics of modern materials and biological tissues. The
global approach to continuum mechanics also enables the formulation
and solutions of practical optimization problems.
Foundations of Geometric Continuum Mechanics will be an invaluable
resource for researchers in the area, particularly mathematicians,
physicists, and engineers interested in the foundational notions of
continuum mechanics.
General
Imprint: |
Birkhauser Verlag AG
|
Country of origin: |
Switzerland |
Series: |
Advances in Continuum Mechanics, 49 |
Release date: |
September 2023 |
First published: |
2023 |
Authors: |
Reuven Segev
|
Dimensions: |
235 x 155mm (L x W) |
Pages: |
412 |
Edition: |
1st ed. 2023 |
ISBN-13: |
978-3-03-135654-4 |
Categories: |
Books
|
LSN: |
3-03-135654-3 |
Barcode: |
9783031356544 |
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