Background
Knops, Robin John was born on December 30, 1932 in London. Son of Joseph Nicolas and Rita Josephine (Colombo) Knops.
(The classical result for uniqueness in elasticity theory ...)
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.
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Knops, Robin John was born on December 30, 1932 in London. Son of Joseph Nicolas and Rita Josephine (Colombo) Knops.
Bachelor of Science, University Nottingham, 1955. Doctor of Philosophy, University Nottingham, 1958. Doctor of Science (honorary), Heriot-Watt University, 1999.
From assistant lecturer to lecturer University Nottingham, England, 1956—1962. Research associate Brown University, Providence, 1960—1961. Lecturer applied mathematics University Newcastle-upon-Tyne, England, 1962—1968, reader continuum Mechanics, 1968—1971.
Professor Heriot-Watt University, Edinburgh, Scotland, 1971—1998, vice president, 1988—1995, special adviser to principal, 1995—1997, professor emeritus, since 1998. Visiting professor Cornell University, Ithaca, New York, 1967-1968, University California, Berkeley, 1967-1968. Convener Ex. Company International Center Mathematics Sciences, Edinburgh, 1996-1999.
(The classical result for uniqueness in elasticity theory ...)
Board Governors Scottish College Textiles, since 1992. Fellow Royal Society of Edinburgh (chief executive editor proceedings A 1982-1987, curator 1987-1992). Member International Society Interaction of Mathematics and Mechanics (president 1991-1995, vice president since 1995), Edinburgh Mathematics Society (president 1974-1975).
Married Margaret Mary McDonald, September 2, 1965.