Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack KR Rajagopal, JR Walton International journal of fracture 169 (1), 39-48, 2011 | 93 | 2011 |
A mathematical model of atherogenesis as an inflammatory response AI Ibragimov, CJ McNeal, LR Ritter, JR Walton Mathematical Medicine and Biology 22 (4), 305-333, 2005 | 89 | 2005 |
Sufficient conditions for strong ellipticity for a class of anisotropic materials JR Walton, JP Wilber International journal of non-linear mechanics 38 (4), 441-455, 2003 | 77 | 2003 |
A study of dynamic crack growth in elastic materials using a cohesive zone model F Costanzo, JR Walton International Journal of Engineering Science 35 (12-13), 1085-1114, 1997 | 65 | 1997 |
The convexity properties of a class of constitutive models for biological soft issues JP Wilber, JR Walton Mathematics and Mechanics of Solids 7 (3), 217-235, 2002 | 63 | 2002 |
On the order of the stress singularity for an antiplane shear crack at the interface of two bonded inhomogeneous elastic materials L Schovanec, JR Walton | 60 | 1988 |
Modeling fracture in the context of a strain-limiting theory of elasticity: A single plane-strain crack K Gou, M Mallikarjuna, KR Rajagopal, JR Walton International Journal of Engineering Science 88, 73-82, 2015 | 57 | 2015 |
A new approach to the modeling and analysis of fracture through extension of continuum mechanics to the nanoscale T Sendova, JR Walton Mathematics and Mechanics of Solids 15 (3), 368-413, 2010 | 54 | 2010 |
Existence of solutions for the anti-plane stress for a new class of “strain-limiting” elastic bodies M Bulíček, J Málek, KR Rajagopal, JR Walton Calculus of Variations and Partial Differential Equations 54 (2), 2115-2147, 2015 | 53 | 2015 |
Mathematical framework of the well productivity index for fast Forchheimer (non-Darcy) flows in porous media E Aulisa, A Ibragimov, P Valko, J Walton Mathematical Models and Methods in Applied Sciences 19 (08), 1241-1275, 2009 | 47 | 2009 |
A note on fracture models incorporating surface elasticity JR Walton Journal of Elasticity 109, 95-102, 2012 | 36 | 2012 |
Deformations and stress intensities due to a craze in an extended elastic material JR Walton, Y Weitsman | 35 | 1984 |
On a mathematical model of the productivity index of a well from reservoir engineering A Ibragimov, D Khalmanova, PP Valko, JR Walton SIAM Journal on Applied Mathematics 65 (6), 1952-1980, 2005 | 34 | 2005 |
A theory of fracture based upon an extension of continuum mechanics to the nanoscale ES Oh, JR Walton, JC Slattery | 33 | 2006 |
Modeling of a curvilinear planar crack with a curvature-dependent surface tension AY Zemlyanova, JR Walton SIAM Journal on Applied Mathematics 72 (5), 1474-1492, 2012 | 30 | 2012 |
Numerical simulation of mode-III fracture incorporating interfacial mechanics LA Ferguson, M Muddamallappa, JR Walton International Journal of Fracture 192, 47-56, 2015 | 29 | 2015 |
A new method for evaluating the productivity index of nonlinear flows E Aulisa, A Ibragimov, JR Walton SPE Journal 14 (04), 693-706, 2009 | 29 | 2009 |
Numerical simulations of a dynamically propagating crack with a nonlinear cohesive zone F Costanzo, JR Walton International journal of fracture 91, 373-389, 1998 | 29 | 1998 |
On strong ellipticity for implicit and strain-limiting theories of elasticity T Mai, JR Walton Mathematics and Mechanics of Solids 20 (2), 121-139, 2015 | 27 | 2015 |
The quasi-static propagation of a plane strain crack in a power-law inhomogeneous linearly viscoelastic body L Schovanec, JR Walton Acta mechanica 67 (1), 61-77, 1987 | 27 | 1987 |