메뉴 건너뛰기




Volumn 62, Issue 2, 2004, Pages 295-321

Stress constrained G closure and relaxation of structural design problems

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; ELASTICITY; EQUATIONS OF STATE; INTEGRATION; PROBLEM SOLVING; SET THEORY; STRESS ANALYSIS; STRESS CONCENTRATION; STRUCTURAL DESIGN; TENSORS; THEOREM PROVING;

EID: 3042632058     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/2054601     Document Type: Article
Times cited : (16)

References (32)
  • 2
    • 0034376968 scopus 로고    scopus 로고
    • An elliptic regularity result for a composite medium with touching fibers of circular cross-section
    • E. Bonnetier and M. Vogelius, An elliptic regularity result for a composite medium with touching fibers of circular cross-section, SIAM J. Math. Anal. 31, 651-677 (2000)
    • (2000) SIAM J. Math. Anal. , vol.31 , pp. 651-677
    • Bonnetier, E.1    Vogelius, M.2
  • 9
    • 0035520196 scopus 로고    scopus 로고
    • Optimal Design Problems for Two-Phase Conducting Composites with Weakly Discontinuous Objective Functionals
    • Y. Grabovsky, Optimal Design Problems for Two-Phase Conducting Composites with Weakly Discontinuous Objective Functionals, Advances in Applied Mathematics 27, 683-704 (2001)
    • (2001) Advances in Applied Mathematics , vol.27 , pp. 683-704
    • Grabovsky, Y.1
  • 10
    • 84990623154 scopus 로고
    • Optimal Design and Relaxation of Variational Problems
    • Part II, pp. 139-182, Part III, pp. 357-377
    • R. V. Kohn and G. Strang, Optimal Design and Relaxation of Variational Problems, Communications on Pure and Applied Mathematics, 34, Part I, pp. 113-137, Part II, pp. 139-182, Part III, pp. 357-377 (1986)
    • (1986) Communications on Pure and Applied Mathematics , vol.34 , Issue.PART 1 , pp. 113-137
    • Kohn, R.V.1    Strang, G.2
  • 11
    • 0034413375 scopus 로고    scopus 로고
    • Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
    • Y. Y. Li and M. Vogelius, Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients, Arch. Rational Mech. Anal. 153, 91-151 (2000)
    • (2000) Arch. Rational Mech. Anal. , vol.153 , pp. 91-151
    • Li, Y.Y.1    Vogelius, M.2
  • 13
    • 0036265665 scopus 로고    scopus 로고
    • Relaxation through homogenization for optimal design problems with gradient constraints
    • R. Lipton, Relaxation through homogenization for optimal design problems with gradient constraints, Journal of Optimization Theory and Applications 114, 27-54 (2002)
    • (2002) Journal of Optimization Theory and Applications , vol.114 , pp. 27-54
    • Lipton, R.1
  • 14
    • 3042652121 scopus 로고    scopus 로고
    • Optimal Design of Gradient Fields with Applications to Electrostatics, Nonlinear Partial Differential Equations and Their Applications, College de France Seminar Volume XIV
    • D. Cioranescu and J.-L. Lions, Eds., North Holland, Amsterdam
    • R. Lipton and A. P. Velo, Optimal Design of Gradient Fields with Applications to Electrostatics, Nonlinear Partial Differential Equations and Their Applications, College de France Seminar Volume XIV, D. Cioranescu and J.-L. Lions, Eds., Studies in Mathematics and its Applications, 31, North Holland, Amsterdam, 2002, pp. 509-522
    • (2002) Studies in Mathematics and Its Applications , vol.31 , pp. 509-522
    • Lipton, R.1    Velo, A.P.2
  • 15
    • 3042614314 scopus 로고
    • On the Optimal Distribution of the Resistivity Tensor of the Working Substance in a Magnetohydrodynamic Channel
    • K. A. Lurie, On the Optimal Distribution of the Resistivity Tensor of the Working Substance in a Magnetohydrodynamic Channel, Journal of Applied Mathematics and Mechanics 34, 255-274 (1970)
    • (1970) Journal of Applied Mathematics and Mechanics , vol.34 , pp. 255-274
    • Lurie, K.A.1
  • 17
    • 0002338788 scopus 로고
    • Effective Characteristics of Composite Materials and the Optimal Design of Structural Elements
    • K. A. Lurie and A. V. Cherkaev, Effective Characteristics of Composite Materials and the Optimal Design of Structural Elements, Uspekhi Mekhaniki (Advances in Mechanics) 9, 3-81 (1986)
    • (1986) Uspekhi Mekhaniki (Advances in Mechanics) , vol.9 , pp. 3-81
    • Lurie, K.A.1    Cherkaev, A.V.2
  • 18
    • 84972585107 scopus 로고
    • Some results on regularity of non-linear elliptic equations and quasi-regular functions
    • N. G. Meyers and A. Elcrat, Some results on regularity of non-linear elliptic equations and quasi-regular functions, Duke Math. J. 47, 121-136 (1975)
    • (1975) Duke Math. J. , vol.47 , pp. 121-136
    • Meyers, N.G.1    Elcrat, A.2
  • 20
    • 0001496391 scopus 로고
    • Calcul des Variations et Homogénéisation, Les Méthodes de l'Homogénéisation: Théorie et Applications en Physique
    • D. Bergman et al., Eds., Eyrolles, Paris
    • F. Murat and L. Tartar, Calcul des Variations et Homogénéisation, Les Méthodes de l'Homogénéisation: Théorie et Applications en Physique, D. Bergman et al., Eds., Collection de la Direction des Études et Recherches d'Electricité de France, 57, Eyrolles, Paris, 1985, pp. 319-369
    • (1985) Collection de la Direction des Études et Recherches D'Electricité De France , vol.57 , pp. 319-369
    • Murat, F.1    Tartar, L.2
  • 22
    • 0034389191 scopus 로고    scopus 로고
    • Constrained quasiconvexity and structural optimization
    • P. Pedregal, Constrained quasiconvexity and structural optimization, Arch. Ration. Mech. Anal. 154, 325-345 (2000)
    • (2000) Arch. Ration. Mech. Anal. , vol.154 , pp. 325-345
    • Pedregal, P.1
  • 23
    • 85009809594 scopus 로고    scopus 로고
    • Fully Explicit Quasiconvexification of the Square of the Gradient of the State in Optimal Design
    • P. Pedregal, Fully Explicit Quasiconvexification of the Square of the Gradient of the State in Optimal Design, Electronic Research Announcements of the American Mathematical Society 7, 72-78 (2001)
    • (2001) Electronic Research Announcements of the American Mathematical Society , vol.7 , pp. 72-78
    • Pedregal, P.1
  • 24
    • 0035637247 scopus 로고    scopus 로고
    • On the local representation of G-closure
    • U. Raitums, On the local representation of G-closure, Arch. Rational Mech. Anal. 158, 213-234 (2001)
    • (2001) Arch. Rational Mech. Anal. , vol.158 , pp. 213-234
    • Raitums, U.1
  • 30
    • 0000764457 scopus 로고
    • Remarks on Optimal Design Problems
    • Edited by G. Buttazzo, G. Bouchitte, and P. Suquet, World Scientific, Singapore
    • L. Tartar, Remarks on Optimal Design Problems, Calculus of Variations, Homogenization and Continuum Mechanics, Edited by G. Buttazzo, G. Bouchitte, and P. Suquet, World Scientific, Singapore, 1994, pp. 279-296
    • (1994) Calculus of Variations, Homogenization and Continuum Mechanics , pp. 279-296
    • Tartar, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.