Robin J. Knops

Robin J. Knops's AcademicInfluence.com Rankings

Robin J. Knops

Engineering

#6701

World Rank

#8037

Historical Rank

Mechanical Engineering

#635

World Rank

#687

Historical Rank

Applied Physics

#2189

World Rank

#2228

Historical Rank

engineering Degrees

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Engineering

Robin J. Knops's Degrees

PhD Mechanical Engineering Stanford University
Masters Mechanical Engineering Stanford University
Bachelors Mechanical Engineering Stanford University

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Robin J. Knops's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Three-Dimensional Problems of the Theory of Elasticity (1967) (591)
Uniqueness Theorems in Linear Elasticity (1971) (217)
Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity (1984) (141)
Trends in applications of pure mathematics to mechanics : a collection of invited papers presented at a symposium at Heriot-Watt University in September 1979 (1978) (122)
Decay estimates for the constrained elastic cylinder of variable cross section (1989) (120)
Nonlinearanalysis and Mechanics : Heriot-Watt Symposium (1978) (102)
The Dynamic Stability of Elastic Systems. By V. V. Bolotin. 1964. (Holden-Day)Non-Conservative Problems of the Theory of Elastic Stability. V. V. Bolotin. 1963. (Pergamon) (1966) (100)
Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity (V. D. Kupradze, T. G. Gegelia, M. O. Basheleishvili, and T. V. Burchuladze) (1981) (90)
Non-existence, instability, and growth theorems for solutions of a class of abstract nonlinear equations with applications to nonlinear elastodynamics (1974) (71)
On uniqueness and continuous dependence in dynamical problems of linear thermoelasticity (1970) (70)
TWO-DIMENSIONAL ELECTROSTRICTION (1963) (67)
Some spatial decay estimates in continuum dynamics (1987) (64)
Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics (1971) (63)
Continuous data dependence for the equations of classical elastodynamics (1969) (59)
On Movchan's theorems for stability of continuous systems (1966) (55)
On the stability of solutions of the Navier-Stokes equations backward in time (1968) (48)
Uniqueness in the linear theory of a mixture of two elastic solids (1969) (47)
Uniqueness in classical elastodynamics (1968) (39)
Improved estimates for continuous data dependence in linear elastodynamics (1988) (37)
Large deformations, superposed small deformations and stability of elastic rods (1968) (35)
Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder (1992) (34)
Stability in linear elasticity (1968) (33)
A Saint-Venant principle for nonlinear elasticity (1983) (32)
Review: M. M. Lavrent′ev, V. G. Romanov and S. P. Shishatskiĭ, Ill-posed problems of mathematical physics and analysis (1988) (31)
Logarithmic convexity and other techniques applied to problems in continuum mechanics (1973) (31)
On Geometric and Modeling Perturbations in Partial Differential Equations (1987) (28)
Stability of general systems (1967) (26)
Symposium on Non-Well-Posed Problems and Logarithmic Convexity : held in Heriot-Watt University, Edinburgh/Scotland March 22-24, 1972 : [proceedings] (1973) (25)
On universal relations in elasticity theory (1966) (24)
Saint-Venant's principle on unbounded regions (1990) (21)
Alternative Spatial Growth and Decay for Constrained Motion in an Elastic Cylinder (2005) (20)
Some convexity considerations for a two-dimensional traction problem (1988) (19)
Asymptotic behaviour in the nonlinear elastic beam (1985) (19)
Two examples in nonlinear elasticity (1978) (17)
Further Considerations of the Elastic Inclusion Problem (1964) (16)
End effects for plane Stokes flow along a semi-infinite strip (1997) (16)
Uniqueness and continuous dependence in the linear elastodynamic exterior and half-space problems (1986) (15)
ASYMPTOTIC AND OTHER ESTIMATES FOR A SEMILINEAR ELLIPTIC EQUATION IN A CYLINDER (1992) (13)
ILL‐POSED PROBLEMS FOR INTEGRODIFFERENTIAL EQUATIONS IN MECHANICS AND ELECTROMAGNETIC THEORY (1982) (13)
On Saint-Venant’s Principle for Elasto-Plastic Bodies (2009) (12)
The effect of a variation in the elastic moduli on Saint-Venant's principle for a half-cylinder (1996) (11)
ON THE VARIATION OF POISSON'S RATIO IN THE SOLUTION OF ELASTIC PROBLEMS (1958) (10)
A reciprocal theorem for a first order theory of electrostriction (1963) (10)
On potential wells and stability in nonlinear elasticity (1978) (10)
On the Stability of a Mixture of Two Elastic Solids (1969) (10)
Instability and the Ill-posed Cauchy Problem in Elasticity (1982) (9)
A method for solving linear thermoelastic problems (1959) (8)
The Vanishing Viscosity-Capillarity Approach to The Riemann Problem for a Van Der Waals Fluid (1987) (8)
Spatial behaviour in the incompressible linear elastic free cylinder (2001) (8)
Zanaboni's treatment of Saint-Venant's principle (2012) (8)
Illustrations of Zanaboni’s formulation of Saint-Venant’s principle (2011) (7)
Recovery of Stresses in a Beam from those in a Cone (1998) (7)
On the displacement boundary-value problem of linear elastodynamics (1968) (7)
A Phragmén–Lindelöf principle for the equation of a surface of constant mean curvature (1994) (6)
Continuous dependence theorems in the theory of linear elastic materials with microstructure (1976) (6)
Stability and related results in linear elastodynamics on unbounded regions (1991) (6)
SOME DECAY AND OTHER ESTIMATES IN TWO-DIMENSIONAL LINEAR ELASTOSTATICS (1988) (6)
Spatial decay in transient heat conduction for general elongated regions (2017) (6)
Uniqueness and continuous data dependence in the elastic cylinder (2001) (6)
On the structure of linear dislocation field theory (2018) (6)
Uniqueness and Complementary Energy in Nonlinear Elastostatics (2003) (6)
Continuous dependence for the compressible linearly viscous fluid (1973) (5)
Spatial behaviour in plane incompressible elasticity on a half-strip (2000) (5)
An Observation on the Experimental Measurement of Dislocation Density (2013) (5)
Stability of the traction boundary value problem in linear elastodynamics (1968) (5)
Qualitative Results for a Class of General Materials (1976) (5)
Asymptotic behaviour of solutions to the equation of constant mean curvature on a three-dimensional region (1996) (5)
The Use of Poisson's Ratio in Studying Certain Non‐Homogeneous Elastic Inclusions (1960) (5)
Nonexistence of global solutions in nonlinear cauchy elastodynamics (1979) (5)
On quasi-static approximations in linear thermoelastodynamics (2018) (4)
Evolutionary properties of elastodynamic solutions for non-negative and indefinite strain energies (1974) (4)
An optimum braking strategy (2006) (4)
Relativistic Extended Thermodynamics (1987) (4)
On uniqueness in the affine boundary value problem of the nonlinear elastic dielectric (2006) (4)
Some Recent Results on Saint-Venant’s Principle (1998) (4)
Shape Memory Alloys-Phenomenology and Simulation (1987) (4)
Existence of weak solutions to linear indefinite systems of differential equations (1987) (3)
On Bateman's exercise (2005) (3)
The optimal shape of a plinth (2014) (3)
Elements of Elastic Stability Theory (2001) (3)
Spatial Behaviour in Thermoelastostatic Cylinders of Indefinitely Increasing Cross-Section (2015) (3)
Differential geometry and continuum mechanics (2015) (3)
Spatial behaviour of energy in partially constrained thick elastic plates (1998) (3)
19.—Concavity and the Evolutionary Properties of a Class of General Materials (1975) (3)
Transverse Decay of Solutions in an Elastic Cylinder (1998) (3)
Continuous dependence on initial geometry in linear elastodynamics on a half-cylinder (2009) (3)
Uniqueness for the Whole Space in Classical Elasticity (1964) (3)
Alternative spatial behaviour in the incompressible linear elastic prismatic constrained cylinder (2000) (3)
Spatial stability in the constrained elastic cylinder (1996) (3)
Spatial stability in linear thermoelasticity (2015) (3)
On oblique impact of a rigid rod against a Winkler foundation (2012) (3)
The High Cantilevered Beam of Minimal Compliance (2001) (2)
The shape of a glacier (2013) (2)
Filon's construct for dislocations and related topics (2003) (2)
Remarks on Neuber's complex variable procedure for plane elastic solutions (2012) (2)
Comments on nonlinear elasticity and stability (1976) (2)
On Uniqueness in Nonlinear Homogeneous Elasticity (2003) (2)
Uniqueness of the displacement boundary value problem for the classical elastic half-space (1965) (2)
Deformable Stiffener Welded to an Elastic Plate (2014) (2)
On the Quasi-Static Approximation to the Initial Traction Boundary Problem of Linear Elastodynamics (2019) (2)
Exact solutions in the reinforcement of a circular plate under concentrated loads (2006) (2)
An elementary theory of the oblique impact of rods (2001) (2)
The Fusion of Physical and Continuum-Mechanical Concepts in the Formulation of Constitutive Relations for Elastic-Plastic Materials (1987) (2)
An Approximate Treatment of Blunt Body Impact (2003) (2)
Stability of Elastic Crystals (1987) (2)
Uniqueness of axisymmetric elastostatic problems for finite regions (1965) (2)
On the three-dimensional Filon construct for dislocations (2012) (1)
Spatial Behaviour in Pre-stressed Constrained Elastic Cylinders (2011) (1)
The Point Interaction Approximation, Viscous Flow Through Porous Media, and Related Topics (1987) (1)
Uniqueness Theorems in Elastodynamics. Relations with Existence, Stability, and Boundedness of Solutions (1971) (1)
Uniqueness of the nonlinear elastic dielectric affine boundary value problem on the whole space and on cone-like regions (2010) (1)
On the quasi-static approximation in the initial boundary value problem of linearised elastodynamics (2021) (1)
On uniqueness of the null traction boundary value problem in nonlinear elastostatics (2000) (1)
Modern Uniqueness Theorems in Three-Dimensional Elastostatics (1971) (1)
The elastic instability of a director rod (1978) (1)
Zanaboni’s formulation of Saint-Venant’s principle extended to linear thermo-elasticity (2015) (1)
Non-Classical Continuum Mechanics: Proceedings of the London Mathematical Society Symposium, Durham, July 1986 (1987) (1)
Continuous Dependence on Base Data in an Elastic Prismatic Cylinder (2001) (1)
MEAN VELOCITY AND THE VOLUME FLOW RATE FOR STEADY ONE-DIMENSIONAL FLOW OF A MIXTURE OF TWO INCOMPRESSIBLE NEWTONIAN FLUIDS (1979) (1)
Uniqueness and Continuous Dependence of the Null Solution in the Cauchy Problem for a Nonlinear Elliptic System (1979) (1)
Dynamic Coupled Thermoelasticity (Ranjit S. Dhaliwal and Avtar Singh) (1983) (1)
On Saint-Venant's Principle for elastic-Plastic Bodies (2009) (1)
Hölder Stability and Logarithmic Convexity (1971) (1)
Spatial and structural stability in thermoelasto-dynamics on a half-cylinder (2007) (1)
On Isolated Point Singularities in Classical Elasticity (1991) (0)
Existence of Solutions to Unstable Problems in Linear Elastodynamics (1982) (0)
Static Elasticity in a Riemannian Manifold Cristinel Mardare (2019) (0)
Continuous dependence on elastic moduli in the motion of a semi-infinite elastic cylinder (2011) (0)
On local uniqueness in nonlinear elastodynamics (2006) (0)
On oblique impact of a rigid rod against a Winkler foundation (2011) (0)
Problems in the Whole- and Half-Space (1971) (0)
The Filon construct for moving dislocations (2018) (0)
Theoretical elasticity: C.E. Pearson: (Harvard Monographs in Applied Science, No. 6.) Harvard University Press, 1959. 218 pp., $6 (1960) (0)
Edge effects in linear micropolar elasticity (2004) (0)
Asymptotic behaviour in the incompressible elastic half-strip (1998) (0)
SPATIAL BEHAVIOUR IN PLANE INCOMPRESSIBLE ELASTICITY (2016) (0)
Zanaboni’s formulation of Saint-Venant’s principle extended to linear thermo-elasticity (2014) (0)
On the quasi-static approximation in the initial boundary value problem of linearised elastodynamics (2021) (0)
Manifolds in a Theory of Microstructures (2015) (0)
Uniqueness and continuous dependance in the linear thermoelastic dielectro (2005) (0)
The effect of a variation in the geometry and moduli on Saint-Venant's principle (1997) (0)
The Filon construct for moving dislocations (2018) (0)
Uniqueness Theorems in Homogeneous Isotropic Two-Dimensional Elastostatics (1971) (0)
On Domain Decomposition for Elliptic Systems (2015) (0)
On Zanaboni's treatment of Saint-Verarts principle (2006) (0)
On uniqueness of affine solutions to boundary value problems for the nonlinear elastic dielectric (2011) (0)
New frontiers in Zanaboni's formulation of Saint-Venant's principle (2017) (0)
Miscellaneous Boundary Value Problems (1971) (0)
Aspects of spatial stability (2000) (0)
Book Review: Mathematical elasticity. Vol.\/} 1. {\it Three-dimensional elasticity (1994) (0)
Pulse Reflection by a Random Medium (1987) (0)
On Domain Decomposition for Elliptic Systems (2014) (0)
Spatial behaviour for constrained motion in an elastic cylinder (2001) (0)
On the Homogenization of Some Free Boundary Problems (1987) (0)
Non-Uniqueness in Plane Fluid Flows (2023) (0)
Singularities in Elliptic Non–Smooth Problems. Applications to Elasticity (1987) (0)
Spatial Behaviour in Thermoelastostatic Cylinders of Indefinitely Increasing Cross-Section (2015) (0)
Computable Constants for Korn’s Inequalities on Riemannian Manifolds (2021) (0)
An Observation on the Experimental Measurement of Dislocation Density (2013) (0)
Spatial stability of non-steady Stokes flow along a pipe (2010) (0)
In Memoriam: Piero Villaggio (2014) (0)
A RECIPROCAL THEOREM FOR LINEAR ELECTROSTRICTION WITH SOME APPLICATIONS (1961) (0)

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What Schools Are Affiliated With Robin J. Knops?

Robin J. Knops is affiliated with the following schools:

Heriot-Watt University

Robin J. Knops's Academic­Influence.com Rankings

Robin J. Knops's Degrees

Why Is Robin J. Knops Influential?

Robin J. Knops's Published Works

Published Works

What Schools Are Affiliated With Robin J. Knops?

Robin J. Knops's AcademicInfluence.com Rankings