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
.
Most widely held works by
R. J Knops
Nonclassical 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
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 NonWellPosed Problems and Logarithmic Convexity, held in HeriotWatt University, Edinburgh/Scotland March 2224,
1972 by
Symposium on NonWellPosed Problems and Logarithmic Convexity(
Book
)
27 editions published between 1973 and 2008 in 3 languages and held by 608 WorldCat member libraries worldwide
27 editions published between 1973 and 2008 in 3 languages and held by 608 WorldCat member libraries worldwide
Nonlinear analysis and mechanics : HeriotWatt 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
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 threedimensional 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 initialmixed 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
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 threedimensional 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 initialmixed 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 nonspecialists 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
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 nonspecialists 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> HeriotWatt Symposium <1976(
Book
)
10 editions published in 1979 in English and held by 70 WorldCat member libraries worldwide
10 editions published in 1979 in English and held by 70 WorldCat member libraries worldwide
Nonlinear analysis and mechanics by
Edinburgh> HeriotWatt Symposium <1976(
Book
)
11 editions published between 1978 and 1979 in English and held by 67 WorldCat member libraries worldwide
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 HeriotWatt 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
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
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
1 edition published in 1973 in English and held by 6 WorldCat member libraries worldwide
NonWellPosed problems and logarithmic convexity by
R. J Knops(
Book
)
3 editions published in 1973 in English and held by 3 WorldCat member libraries worldwide
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
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
2 editions published in 1981 in English and held by 3 WorldCat member libraries worldwide
Nonlinear analysis and mechanics : HeriotWatt symposium, volume II(
Book
)
1 edition published in 1978 in English and held by 3 WorldCat member libraries worldwide
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
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 meanvalue of the stresses and strains
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 meanvalue 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
2 editions published in 1979 in English and held by 2 WorldCat member libraries worldwide
TWODIMENSIONAL 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)
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)
Nonclassical continuum mechanics : proceedings of the London Math. Soc. Symposium, Durham, july 1986 by
Abstract Techniques and Applications" Symposium on "Nonclassical Continuum Mechanics(
Book
)
1 edition published in 1987 in English and held by 2 WorldCat member libraries worldwide
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 HeriotWatt University in September 1979(
Book
)
1 edition published in 1981 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1981 in English and held by 2 WorldCat member libraries worldwide
more
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Audience Level
0 

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Kids  General  Special 
Related Identities
 Lacey, A. A. Editor
 Payne, Lawrence Edward Author
 HeriotWatt University
 Grinfeld, Michael (Mathematician) Other Editor
 Chen, GuiQiang 1963 Other Editor
 HeriotWatt Symposium <1976, Edinburgh>
 Symposium on NonWellPosed Problems and Logarithmic Convexity
 SpringerLink (Service en ligne)
 Science Research Council of Great Britain
 Symposium on NonWellPosed Problems and Logarithmic Convexity. <1972, Edinburgh>
Associated Subjects
Boundary value problems Continuum mechanics Continuum mechanicsMathematical models Dielectrics Differential equations Differential equations, Partial Elasticity Electrostatics Engineering mathematics Geometry, Differential Global differential geometry Materials Materials science Mathematical analysis Mathematical physics Mathematics Mechanics Mechanics, Analytic Nonlinear mechanics Physics Strains and stresses