Uniqueness Theorems in Linear Elasticity by Robin J. Knops, L. E. Payne
  

Uniqueness Theorems in Linear Elasticity

Written by Robin J. Knops, L. E. Payne
Illustrated by
Part of the Springer Tracts in Natural Philosophy Series

RRP £72.00

Synopsis

Uniqueness Theorems in Linear Elasticity by Robin J. Knops, L. E. Payne

The classical result for uniqueness in elasticity theory is due to Kirchhoff. It states that the standard mixed boundary value problem for a homogeneous isotropic linear elastic material in equilibrium and occupying a bounded three-dimensional region of space possesses at most one solution in the classical sense, provided the Lame and shear moduli, A and J1 respectively, obey the inequalities (3 A + 2 J1) > 0 and J1>O. In linear elastodynamics the analogous result, due to Neumann, is that the initial-mixed boundary value problem possesses at most one solution provided the elastic moduli satisfy the same set of inequalities as in Kirchhoffs theorem. Most standard textbooks on the linear theory of elasticity mention only these two classical criteria for uniqueness and neglect altogether the abundant literature which has appeared since the original publications of Kirchhoff. To remedy this deficiency it seems appropriate to attempt a coherent description ofthe various contributions made to the study of uniqueness in elasticity theory in the hope that such an exposition will provide a convenient access to the literature while at the same time indicating what progress has been made and what problems still await solution. Naturally, the continuing announcement of new results thwarts any attempt to provide a complete assessment. Apart from linear elasticity theory itself, there are several other areas where elastic uniqueness is significant.

About the Author

Other Formats

Book Info

Format

Hardback
142 pages

Author

Robin J. Knops, L. E. Payne
More books by Robin J. Knops, L. E. Payne

Publisher

Springer-Verlag Berlin and Heidelberg GmbH & Co. K an imprint of Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
www.springer.com/

Publication date

1st January 1971

ISBN

9783540052531


It’s so easy to find the right book for your child. Such an easy-to-use, yet in-depth website. 100% reliable.

Pippa, Jack, Liam & Matthew Wils

At @HHSHaringey we love @lovereading4kids because our pupils can practice reviewing & get free upcoming books before anyone else!

Helen Swinyard – Heartlands High

I think Lovereading4kids is an amazing company because of the friendly staff and the fabulous chance to read great books before publication.

Adam Graham

You give me age appropriate ideas of books I can read and buy for the children and find out what other children their age think of them too.

Katie Lonsdale

Lovereading is just a convenient way to find new books and hear others opinions on them.

Sarah Murray – age 15

It is THE website to use for narrowing down your search for any book. Definitely knocks the socks off any other book review website.

Nickey and Tomasz Hawryszczuk

We love Lovereading4kids because they put books in front of us we wouldn’t otherwise have read. They make us more adventurous readers!

Emily Jacques

It’s really exciting to read and review new books, thrilling to see my reviews online and I love finding the final published copies on sale.

Sam Harper – age 10
Lovereading

Lovereading 4 schools