2015 - THE BELYTSCHKO MEDAL For developing and dmonstrating peridynamics as a new mechanic methodology for modeling fracture and high strain deformation in solids
Peridynamics, Classical mechanics, Mathematical analysis, Solid mechanics and Integral equation are his primary areas of study. He combines subjects such as Applied mathematics, Deformation and Constitutive equation with his study of Peridynamics. He studies Classical mechanics, focusing on Equations of motion in particular.
His Equations of motion research includes themes of Numerical analysis, Numerical stability and Fracture. As a part of the same scientific study, Stewart A. Silling usually deals with the Mathematical analysis, concentrating on Finite strain theory and frequently concerns with Cauchy stress tensor, Cauchy elastic material, Material properties and Angular momentum. As part of one scientific family, Stewart A. Silling deals mainly with the area of Solid mechanics, narrowing it down to issues related to the Partial differential equation, and often Distribution, Smoothness, Contact force and Discretization.
His primary scientific interests are in Peridynamics, Classical mechanics, Mechanics, Continuum mechanics and Structural engineering. The study incorporates disciplines such as Discretization, Mathematical analysis, Fracture, Statistical physics and Constitutive equation in addition to Peridynamics. His Classical mechanics research is multidisciplinary, relying on both Coupling, Integral equation and Finite strain theory.
His biological study spans a wide range of topics, including Partial differential equation, Displacement field and Applied mathematics. Within one scientific family, Stewart A. Silling focuses on topics pertaining to Solid mechanics under Mechanics, and may sometimes address concerns connected to Bar. His work deals with themes such as Dispersion relation, Continuum and Classification of discontinuities, which intersect with Continuum mechanics.
Stewart A. Silling focuses on Mechanics, Peridynamics, Solid mechanics, Classical mechanics and Ballistic limit. Stewart A. Silling interconnects Kinetics, Strain rate, Deformation and Fracture in the investigation of issues within Mechanics. His Peridynamics study results in a more complete grasp of Thermodynamics.
His study looks at the intersection of Solid mechanics and topics like Bar with Solver and Continuum. As part of his studies on Classical mechanics, Stewart A. Silling often connects relevant areas like Strain energy density function. His research integrates issues of Impact test, Composite number and Fracture mechanics in his study of Ballistic limit.
His scientific interests lie mostly in Classical mechanics, Peridynamics, Mechanics, Strain energy density function and Viscoelasticity. Classical mechanics is connected with Longitudinal wave, Mechanical wave, Lamb waves, Rayleigh wave and Gravity wave in his study. Stewart A. Silling has included themes like Elasticity, Deformation, Meshfree methods, Discretization and Cauchy stress tensor in his Peridynamics study.
His research in Mechanics intersects with topics in Structural engineering, Shear, Fracture and Work. His work carried out in the field of Strain energy density function brings together such families of science as Limit, Equations of motion, Variable, Partial derivative and Domain. His Viscoelasticity research spans across into subjects like Attenuation and Quantum nonlocality.
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Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces
S.A. Silling.
Journal of The Mechanics and Physics of Solids (2000)
A meshfree method based on the peridynamic model of solid mechanics
S. A. Silling;E. Askari.
Computers & Structures (2005)
Peridynamic States and Constitutive Modeling
Stewart A. Silling;M. Epton;O. Weckner;J. Xu.
Journal of Elasticity (2007)
Peridynamic Theory of Solid Mechanics
S.A. Silling;R.B. Lehoucq.
Advances in Applied Mechanics (2010)
Peridynamics via finite element analysis
Richard W. Macek;Stewart A. Silling.
Finite Elements in Analysis and Design (2007)
Convergence, adaptive refinement, and scaling in 1D peridynamics
Florin Bobaru;Mijia Yang;Mijia Yang;Leonardo Frota Alves;Stewart A. Silling.
International Journal for Numerical Methods in Engineering (2009)
Peridynamic modeling of concrete structures
Walter Gerstle;Nicolas Sau;Stewart Silling.
Nuclear Engineering and Design (2007)
Convergence of Peridynamics to Classical Elasticity Theory
S. A. Silling;R. B. Lehoucq.
Journal of Elasticity (2008)
Peridynamic modeling of membranes and fibers
S.A. Silling;F. Bobaru.
International Journal of Non-linear Mechanics (2005)
CTH: A software family for multi-dimensional shock physics analysis
E. S. Hertel;R. L. Bell;M. G. Elrick;A. V. Farnsworth.
(1995)
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