Zobrazeno 1 - 10
of 124
pro vyhledávání: '"James K. Knowles"'
Autor:
Rohan Abeyaratne, James K. Knowles
This 2006 work began with the author's exploration of the applicability of the finite deformation theory of elasticity when various standard assumptions such as convexity of various energies or ellipticity of the field equations of equilibrium are re
Autor:
James K. Knowles, Rohan Abeyaratne
Publikováno v:
Prof. Abeyaratne via Angie Locknar
Motivated by issues arising for discrete second-order conservation laws and their continuum limits (applicable, for example, to one-dimensional nonlinear spring—mass systems), here we study the corresponding issues in the simpler setting of first-o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50bf4c0f219ceb6d2c969b8e90eb2d64
https://doi.org/10.1177/1081286510382821
https://doi.org/10.1177/1081286510382821
Autor:
James K. Knowles
Publikováno v:
Journal of Elasticity. 98:13-23
Shock waves in nonlinearly elastic solids are, in general, dissipative. We study the following question: among all plane shock waves that can propagate with a given speed in a given one-dimensional nonlinearly elastic bar, which one—if any—maximi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d48e47b94a120abfb45cc59c99a0e706
https://doi.org/10.1007/s10659-009-9221-5
https://doi.org/10.1007/s10659-009-9221-5
Autor:
James K. Knowles
Publikováno v:
Shock Waves. 17:421-432
The Hugoniot curve relates the pressure and volume behind a shock wave, with the temperature having been eliminated. This paper studies the Hugoniot curve behind a propagating sharp interface between two material phases for a solid in which an impact
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f4f9cdf972ba9a027feee90bb02cf507
https://doi.org/10.1007/s00193-008-0119-0
https://doi.org/10.1007/s00193-008-0119-0
Autor:
James K. Knowles
Publikováno v:
ZAMM. 88:64-73
This paper is concerned with “entropy conditions” for traffic flow models governed by one-dimensional nonlinear scalar conservation laws. The classical conditions of this type serve as selection principles used to overcome the lack of uniqueness
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c05ed8cee52dde0509f134fca74a409a
https://doi.org/10.1002/zamm.200700093
https://doi.org/10.1002/zamm.200700093
Autor:
James K. Knowles
Publikováno v:
Journal of Hyperbolic Differential Equations. :19-38
This paper is concerned with the circumstances under which the dissipative character of a one-dimensional scalar conservation law may be described by a formalism strictly analogous to that arising naturally in the dynamics of nonlinearly elastic mate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35d454e9da9a46cdeeb364df79875d82
https://doi.org/10.1142/s0219891607001057
https://doi.org/10.1142/s0219891607001057
Publikováno v:
Structural Control and Health Monitoring. 13:1-6
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8dddfb09c35dd852bcac26f52121c6d8
https://doi.org/10.1002/stc.151
https://doi.org/10.1002/stc.151
Autor:
James K. Knowles
Publikováno v:
International Journal of Non-Linear Mechanics. 40:387-394
This paper describes a thermoelastic model for shock waves in uniaxial strain based on a subclass of the so-called materials of Mie–Gruneisen type. We compare the Hugoniot curve with the isotherms and isentropes for this model, and we construct the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34cd4dca4f561bee253d7d0c6400b5f1
https://doi.org/10.1016/j.ijnonlinmec.2004.08.001
https://doi.org/10.1016/j.ijnonlinmec.2004.08.001
Autor:
James K. Knowles
Publikováno v:
Mechanics Research Communications. 30:581-587
In uniaxial tension, the stress–strain curve for rubber changes curvature from concave to convex as the strain increases. For sudden tensile loading of a bar, a one-dimensional model that reflects this behavior leads to an under-determined problem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb2f3f84d01ea516c5b1592df0b0bd4d
https://doi.org/10.1016/s0093-6413(03)00070-3
https://doi.org/10.1016/s0093-6413(03)00070-3
Autor:
James K. Knowles
Publikováno v:
Shock Waves. 12:137-144
Results of shock-wave experiments in solids often suggest a nearly-linear relation between the particle velocity behind the shock and the shock wave speed. The present note reconsiders the question of whether thermoelastic material models may be cons
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1c80b143d3a22488d28e971c2c1539e7
https://doi.org/10.1007/s00193-002-0146-1
https://doi.org/10.1007/s00193-002-0146-1