WorldCat Identities

Knops, R. J. (Robin John)

Overview
Works: 42 works in 207 publications in 3 languages and 3,494 library holdings
Genres: Conference papers and proceedings  Periodicals 
Roles: Editor, Author, Other
Classifications: QA931, 531.3823
Publication Timeline
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Most widely held works by R. J Knops
Non-classical continuum mechanics : proceedings of the London Mathematical Society symposium, Durham, July 1986 by London Mathematical Society( )

23 editions published between 1987 and 2007 in English and Undetermined and held by 1,465 WorldCat member libraries worldwide

The Appearance of Oscillations in Optimization Problems1 AN OPTIMAL DESIGN PROBLEM; 2 AN EASY MODEL PROBLEM; 3 A FEW GENERAL REMARKS ON MINIMIZATION PROBLEMS; 4 OPTIMAL DESIGN REVISITED; 5 CHARACTERIZATION OF ALL COMPOSITE MATERIALS; 6 SHARP NECESSARY CONDITIONS AND EXPLICIT SOLUTIONS; 7 CONCLUDING REMARKS; Acknowledgements.; Reference list.; PART II SINGLE INVITED LECTURES; Some Mathematical Problems Arising From the Oil Service Industry; 1 INTRODUCTION; 2 OIL WELL TESTING; 3 THE GENERATION OF AXIAL VIBRATIONS BY A ROLLER CONE BIT; REFERENCES
Symposium on Non-Well-Posed Problems and Logarithmic Convexity, held in Heriot-Watt University, Edinburgh/Scotland March 22-24, 1972 by Symposium on Non-Well-Posed Problems and Logarithmic Convexity( Book )

27 editions published between 1973 and 2008 in 3 languages and held by 608 WorldCat member libraries worldwide

Nonlinear analysis and mechanics : Heriot-Watt symposium by R. J Knops( Book )

52 editions published between 1977 and 1979 in English and Italian and held by 469 WorldCat member libraries worldwide

Uniqueness theorems in linear elasticity by R. J Knops( Book )

16 editions published between 1971 and 2012 in English and Undetermined and held by 403 WorldCat member libraries worldwide

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
Differential geometry and continuum mechanics( )

9 editions published in 2015 in English and held by 276 WorldCat member libraries worldwide

This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, the use of manifolds in the description of microstructure in continuum mechanics, experimental measurement of microstructure, defects, dislocations, surface energies, and nematic liquid crystals. Compensated compactness in partial differential equations is also treated. The volume is intended for specialists and non-specialists in pure and applied geometry, continuum mechanics, theoretical physics, materials and engineering sciences, and partial differential equations. It will also be of interest to postdoctoral scientists and advanced postgraduate research students. These proceedings include revised written versions of the majority of papers presented by leading experts at the ICMS Edinburgh Workshop on Differential Geometry and Continuum Mechanics held in June 2013. All papers have been peer reviewed
Nonlinear analysis and mechanics by Edinburgh> Heriot-Watt Symposium <1976( Book )

10 editions published in 1979 in English and held by 70 WorldCat member libraries worldwide

Nonlinear analysis and mechanics by Edinburgh> Heriot-Watt Symposium <1976( Book )

11 editions published between 1978 and 1979 in English and held by 67 WorldCat member libraries worldwide

Trends in applications of pure mathematics to mechanics (volume 3) : a collection of invited papers presented at a symposium at Heriot-Watt University in September 1979 by Symposium on Trends in Applications of Pure Mathematics to Mechanics( Book )

17 editions published between 1979 and 1981 in English and held by 65 WorldCat member libraries worldwide

Applied mathematics and mathematical computation( )

in English and held by 20 WorldCat member libraries worldwide

Theory of elastic stability( )

1 edition published in 1973 in English and held by 6 WorldCat member libraries worldwide

Non-Well-Posed problems and logarithmic convexity by R. J Knops( Book )

3 editions published in 1973 in English and held by 3 WorldCat member libraries worldwide

Uniqueness theorems in linear elasticity [by] R.J. Knops [and] L.E. Payne by R. J Knops( Book )

1 edition published in 1971 in English and held by 3 WorldCat member libraries worldwide

Trends in applications of pure mathematics to mechanics by Symposium on Trends in Applications of Pure Mathematics to Mechanics( Book )

2 editions published in 1981 in English and held by 3 WorldCat member libraries worldwide

Nonlinear analysis and mechanics : Heriot-Watt symposium, volume II( Book )

1 edition published in 1978 in English and held by 3 WorldCat member libraries worldwide

Uniqueness theorems in linear elasticity by R. J Knops( )

1 edition published in 1971 in English and held by 3 WorldCat member libraries worldwide

A reciprocal theorem for linear electrostriction with some applications by R. J Knops( Book )

2 editions published in 1961 in English and held by 2 WorldCat member libraries worldwide

A reciprocal theorem is presented for linear electrostriction. It is used to derive an integral representation for the displacement and expressions for the mean-value of the stresses and strains
Trends in applications of pure mathematics to mechanics (volume 2) : a collection of papers presented at a symposium at Kozubnik, Poland, in September 1977 by Symposium on Trends in Applications of Pure Mathematics to Mechanics( Book )

2 editions published in 1979 in English and held by 2 WorldCat member libraries worldwide

TWO-DIMENSIONAL ELECTROSTRICTION by R. J Knops( Book )

2 editions published in 1961 in English and held by 2 WorldCat member libraries worldwide

PRESENTED TO THE PROBLEM WHEN SEVERAL DIELECTRICS OF THE SAME ELASTIC PROPERTIES ARE BONDED TOGETHER. (Author)
Non-classical continuum mechanics : proceedings of the London Math. Soc. Symposium, Durham, july 1986 by Abstract Techniques and Applications" Symposium on "Non-classical Continuum Mechanics( Book )

1 edition published in 1987 in English and held by 2 WorldCat member libraries worldwide

A collection of invited papers presented at a symposium at Heriot-Watt University in September 1979( Book )

1 edition published in 1981 in English and held by 2 WorldCat member libraries worldwide

 
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Symposium on Non-Well-Posed Problems and Logarithmic Convexity, held in Heriot-Watt University, Edinburgh/Scotland March 22-24, 1972
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Symposium on Non-Well-Posed Problems and Logarithmic Convexity, held in Heriot-Watt University, Edinburgh/Scotland March 22-24, 1972Non-classical continuum mechanics : proceedings of the London Math. Soc. Symposium, Durham, july 1986
Alternative Names
Knops, R. J.

Knops, Robin John

Languages
English (177)

Italian (2)

German (1)