Robin J. Knops
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Robin J. Knopsengineering Degrees
Engineering
#6701
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#8037
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Mechanical Engineering
#635
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#687
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Applied Physics
#2189
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#2228
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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
Why Is Robin J. Knops Influential?
(Suggest an Edit or Addition)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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