Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Scott J. Spector"'
Autor:
Daniel E. Spector, Scott J. Spector
Publikováno v:
Journal of Elasticity.
Korn’s first inequality states that there exists a constant such that the ${\mathcal {L}}^{2}$ L 2 -norm of the infinitesimal displacement gradient is bounded above by this constant times the ${\mathcal {L}}^{2}$ L 2 -norm of the infinitesimal stra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::210b2bd2a2d62a32d096cacdc9e58e04
https://doi.org/10.1007/s10659-022-09976-3
https://doi.org/10.1007/s10659-022-09976-3
Autor:
Scott J. Spector, Daniel Spector
Publikováno v:
Journal of Elasticity. 143(1):85-109
In this manuscript two BMO estimates are obtained, one for Linear Elasticity and one for Nonlinear Elasticity. It is first shown that the BMO-seminorm of the gradient of a vector-valued mapping is bounded above by a constant times the BMO-seminorm of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aad7e41fe1381936ec25c35cf0e7ee33
http://id.nii.ac.jp/1394/00001881/
http://id.nii.ac.jp/1394/00001881/
Autor:
Scott J. Spector, Daniel Spector
Publikováno v:
Quarterly of Applied Mathematics. 79:409-417
In this note two results are established for energy functionals that are given by the integral of W ( x , ∇ u ( x ) ) W({\mathbf x},\nabla {\mathbf u}({\mathbf x})) over Ω ⊂ R n \Omega \subset {\mathbb R}^n with ∇ u ∈ B M O ( Ω ; R N × n )
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7677158c4e0a3f45db4c38f6b7928d34
https://doi.org/10.1090/qam/1586
https://doi.org/10.1090/qam/1586
Autor:
Daniel Spector, Scott J. Spector
Publikováno v:
Archive for Rational Mechanics and Analysis. 233:409-449
The uniqueness of equilibrium for a compressible, hyperelastic body subject to dead-load boundary conditions is considered. It is shown, for both the displacement and mixed problems, that there cannot be two solutions of the equilibrium equations of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8312d758e931f97620f14ac67bffcee8
https://doi.org/10.1007/s00205-019-01360-1
https://doi.org/10.1007/s00205-019-01360-1
Publikováno v:
Sivaloganathan, J & Spector, S J 2018, ' On the Uniqueness of Energy Minimizers in Finite Elasticity ', Journal of Elasticity, vol. 133, no. 1, pp. 73-103 . https://doi.org/10.1007/s10659-018-9671-8
The uniqueness of absolute minimizers of the energy of a compressible, hyperelastic body subject to a variety of dead-load boundary conditions in two and three dimensions is herein considered. Hypotheses under which a given solution of the correspond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0092c3d1eb5ea31b58a36187fc43a2b6
https://purehost.bath.ac.uk/ws/files/169788590/Final_version_Sivaloganathan_Spector_Uniqueness_10_2017.pdf
https://purehost.bath.ac.uk/ws/files/169788590/Final_version_Sivaloganathan_Spector_Uniqueness_10_2017.pdf
Autor:
Scott J. Spector
Publikováno v:
Journal of Elasticity. 118:251-256
Recently, Lehmich et al. (Math. Mech. Solids 19, 369–375, 2014) obtained necessary and sufficient conditions for the function C↦h(detC) to be convex on strictly positive-definite, symmetric n×n matrices C. In this note an alternate proof of thei
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b2c135639d1a3487da8c327fba9887c
https://doi.org/10.1007/s10659-014-9486-1
https://doi.org/10.1007/s10659-014-9486-1
Autor:
Henry C. Simpson, Scott J. Spector
Publikováno v:
Rendiconti del Seminario Matematico della Università di Padova. 131:67-76
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::96fc3656067c624a279f6e918f59288f
https://doi.org/10.4171/rsmup/131-5
https://doi.org/10.4171/rsmup/131-5
Publikováno v:
Journal of Elasticity. 105:313-330
Consider a cylinder (not necessarily of circular cross-section) that is composed of a hyperelastic material and which is stretched parallel to its axis of symmetry. Suppose that the elastic material that constitutes the cylinder is homogeneous, trans
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93597aca984bf68b5403d267223b147d
https://doi.org/10.1007/s10659-011-9330-9
https://doi.org/10.1007/s10659-011-9330-9
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 141:193-204
Irregular mappings that are weak solutions of the energy–momentum equations are presented. One example is discontinuous at a countable number of points while the other is C1, but not C2. These mappings are not solutions of the usual Euler–Lagrang
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef15df8bf171433ad9d9aaa2842c68fe
https://doi.org/10.1017/s0308210509001243
https://doi.org/10.1017/s0308210509001243
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 466:1167-1176
When a rectangular bar is subjected to uniaxial tension, the bar usually deforms (approximately) homogeneously and isoaxially until a critical load is reached. A bifurcation, such as the formation of shear bands or a neck, may then be observed. One a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe4ed882526fdca1d113b84ae1a7a548
https://doi.org/10.1098/rspa.2009.0368
https://doi.org/10.1098/rspa.2009.0368