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The mathematics and mechanics of biological growth

Author: Alain Goriely
Publisher: [New York] : Springer, [2017] ©2017
Series: Interdisciplinary applied mathematics, v. 45.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
Emphasizing kinematics and mechanics of growth, this book presents the state of knowledge in morpho-elasticity, providing a rigorous foundation and offering a set of mathematical tools for the analysis of specific problems arising in biology.
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Document Type: Book
All Authors / Contributors: Alain Goriely
ISBN: 0387877096 9780387877099
OCLC Number: 959593695
Description: xxii, 646 pages : illustrations (some color) ; 25 cm
Contents: Basic aspects of growth --
Mechanics and growth --
Discrete computational models --
Growing on a line --
Elastic rods --
Morphoelastic rods --
Accretive growth --
Membranes and shells --
Growing membranes --
Morphoelastic plates --
Nonlinear elasticity --
The kinematics of growth --
Balance laws --
Evolution laws and stability --
Growing spheres --
Growing cylinders --
Ten challenges --
References --
Index.
Series Title: Interdisciplinary applied mathematics, v. 45.
Responsibility: Alain Goriely.

Abstract:

Emphasizing kinematics and mechanics of growth, this book presents the state of knowledge in morpho-elasticity, providing a rigorous foundation and offering a set of mathematical tools for the  Read more...

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