It takes the average reader 2 hours and 13 minutes to read Uniqueness Theorems in Linear Elasticity by Robin J. Knops
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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.
Uniqueness Theorems in Linear Elasticity by Robin J. Knops is 132 pages long, and a total of 33,264 words.
This makes it 45% the length of the average book. It also has 41% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 1 minute to read Uniqueness Theorems in Linear Elasticity aloud.
Uniqueness Theorems in Linear Elasticity is suitable for students ages 10 and up.
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