메뉴 건너뛰기




Volumn 29, Issue 4, 2006, Pages 445-478

Mathematical problems of the theory of elasticity of chiral materials for Lipschitz domains

Author keywords

Boundary value problems; Elastic chiral materials; Elasticity theory; Potential theory

Indexed keywords

BOUNDARY VALUE PROBLEMS; ELASTICITY; FUNCTIONS; INTEGRAL EQUATIONS;

EID: 32344438661     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/mma.696     Document Type: Article
Times cited : (28)

References (61)
  • 1
    • 15944424512 scopus 로고
    • Continuum theory of asymmetric elasticity. Microrotation effect
    • (in Russian)
    • Aero EL, Kuvshinski EV. Continuum theory of asymmetric elasticity. Microrotation effect. Solid State Physics 1963; 5(9):2591-2598 (in Russian),
    • (1963) Solid State Physics , vol.5 , Issue.9 , pp. 2591-2598
    • Aero, E.L.1    Kuvshinski, E.V.2
  • 3
    • 0035400967 scopus 로고    scopus 로고
    • Elastic and viscoelastic behavior of chiral materials
    • Lakes RS. Elastic and viscoelastic behavior of chiral materials. International Journal of Mechanical Sciences 2001; 43:1579-1589.
    • (2001) International Journal of Mechanical Sciences , vol.43 , pp. 1579-1589
    • Lakes, R.S.1
  • 6
    • 0033276752 scopus 로고    scopus 로고
    • Electromagnetic scattering problems in chiral media: A review
    • Stratis IG. Electromagnetic scattering problems in chiral media: a review. Electromagnetics 1999; 19:547-562.
    • (1999) Electromagnetics , vol.19 , pp. 547-562
    • Stratis, I.G.1
  • 8
    • 0011506661 scopus 로고
    • Continuum theory of asymmetric elasticity. Equilibrium of an isotropic body
    • (in Russian)
    • Aero EL, Kuvshinski EV. Continuum theory of asymmetric elasticity. Equilibrium of an isotropic body. Solid State Physics 1964; 6(9):2689-2699 (in Russian),
    • (1964) Solid State Physics , vol.6 , Issue.9 , pp. 2689-2699
    • Aero, E.L.1    Kuvshinski, E.V.2
  • 11
    • 0004124990 scopus 로고
    • Pergamon Press: Oxford; PWN-Polish Scientific Publishers: Warsaw
    • Nowacki W. Theory of Asymmetric Elasticity. Pergamon Press: Oxford; PWN-Polish Scientific Publishers: Warsaw, 1986.
    • (1986) Theory of Asymmetric Elasticity
    • Nowacki, W.1
  • 13
    • 0005007828 scopus 로고
    • Initial stress and skin effects in a hemitropic Cosserat continuum
    • Weitsman Y. Initial stress and skin effects in a hemitropic Cosserat continuum. Journal of Applied Mathematics 1967; 349:160-164.
    • (1967) Journal of Applied Mathematics , vol.349 , pp. 160-164
    • Weitsman, Y.1
  • 16
    • 0005064324 scopus 로고
    • Elastic wave propagation in noncentrosymmetric isotropic media: Dispersion and field equations
    • Lakhtakia A, Varadan VK, Varadan VV. Elastic wave propagation in noncentrosymmetric isotropic media: dispersion and field equations. Journal of Applied Physics 1988; 64:5246-5250.
    • (1988) Journal of Applied Physics , vol.64 , pp. 5246-5250
    • Lakhtakia, A.1    Varadan, V.K.2    Varadan, V.V.3
  • 19
    • 0028158526 scopus 로고
    • Plane-wave representation of an elastic chiral solid slab sandwiched between achiral solid half-spaces
    • Elphinstone MJ, Lakhtakia A. Plane-wave representation of an elastic chiral solid slab sandwiched between achiral solid half-spaces. Journal of the Acoustical Society of America 1994; 95:617-627.
    • (1994) Journal of the Acoustical Society of America , vol.95 , pp. 617-627
    • Elphinstone, M.J.1    Lakhtakia, A.2
  • 21
    • 48549113823 scopus 로고
    • Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
    • Verchota G. Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains. Journal of Functional Analysis 1984; 59:572-611.
    • (1984) Journal of Functional Analysis , vol.59 , pp. 572-611
    • Verchota, G.1
  • 22
    • 0000438610 scopus 로고
    • Boundary integral operators on Lipschitz domains: Elementary results
    • Costabel M. Boundary integral operators on Lipschitz domains: elementary results. SIAM Journal on Mathematical Analysis 1988; 19:613-626.
    • (1988) SIAM Journal on Mathematical Analysis , vol.19 , pp. 613-626
    • Costabel, M.1
  • 23
    • 84972551990 scopus 로고
    • Boundary value problems for the systems of elastostatics in Lipschitz domains
    • Dahlberg BEJ, Kenig CE, Verchota GC. Boundary value problems for the systems of elastostatics in Lipschitz domains. Duke Mathematical Journal 1988; 57:795-818.
    • (1988) Duke Mathematical Journal , vol.57 , pp. 795-818
    • Dahlberg, B.E.J.1    Kenig, C.E.2    Verchota, G.C.3
  • 26
    • 0035285749 scopus 로고    scopus 로고
    • Layer potentials, the Hodge Laplacian, and global boundary value problems in non-smooth Riemannian manifolds
    • Mitrea D, Mitrea M, Taylor M. Layer potentials, the Hodge Laplacian, and global boundary value problems in non-smooth Riemannian manifolds. Memoirs of the American Mathematical Society 2001; 150(713):1-120.
    • (2001) Memoirs of the American Mathematical Society , vol.150 , Issue.713 , pp. 1-120
    • Mitrea, D.1    Mitrea, M.2    Taylor, M.3
  • 28
    • 32344450003 scopus 로고    scopus 로고
    • Selected Papers from the 25th University of Arkansas Spring Lecture Series 'Recent Progress in the Study of Harmonic Measure from a Geometric and Analytic Point of View', 2-4 March 2000. AMS: Providence, RI
    • Capogna L, Lanzani L (eds). Harmonic Analysis and Boundary Value Problems. Selected Papers from the 25th University of Arkansas Spring Lecture Series 'Recent Progress in the Study of Harmonic Measure from a Geometric and Analytic Point of View', 2-4 March 2000. AMS: Providence, RI, 2001.
    • (2001) Harmonic Analysis and Boundary Value Problems
    • Capogna, L.1    Lanzani, L.2
  • 29
    • 0013379604 scopus 로고    scopus 로고
    • Spectral properties of potential type operators for a class of strongly elliptic systems on smooth and Lipschitz surfaces
    • Agranovich MS. Spectral properties of potential type operators for a class of strongly elliptic systems on smooth and Lipschitz surfaces. Transactions of the Moscow Mathematical Society 2001; 62:1-47.
    • (2001) Transactions of the Moscow Mathematical Society , vol.62 , pp. 1-47
    • Agranovich, M.S.1
  • 30
    • 0036771185 scopus 로고    scopus 로고
    • Spectral problems for second-order strongly elliptic systems in smooth and non-smooth domains
    • Agranovich MS. Spectral problems for second-order strongly elliptic systems in smooth and non-smooth domains. Russian Mathematical Surveys 2002; 57(5):847-920
    • (2002) Russian Mathematical Surveys , vol.57 , Issue.5 , pp. 847-920
    • Agranovich, M.S.1
  • 43
    • 0039553450 scopus 로고
    • Mixed interface problems for anisotropic elastic bodies
    • Natroshvili D. Mixed interface problems for anisotropic elastic bodies. Georgian Mathematical Journal 1995; 2(6):631-652.
    • (1995) Georgian Mathematical Journal , vol.2 , Issue.6 , pp. 631-652
    • Natroshvili, D.1
  • 44
    • 0030784734 scopus 로고    scopus 로고
    • Boundary integral equation method in the steady state oscillation problems for anisotropic bodies
    • Natroshvili D. Boundary integral equation method in the steady state oscillation problems for anisotropic bodies. Mathematical Methods in the Applied Sciences 1997; 20(2):95-119.
    • (1997) Mathematical Methods in the Applied Sciences , vol.20 , Issue.2 , pp. 95-119
    • Natroshvili, D.1
  • 46
    • 0038243439 scopus 로고
    • Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts I, II
    • Duduchava R, Natroshvili D, Shargorodsky E. Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts I, II. Georgian Mathematical Journal 1995; 2(2): 123-140; No. 3, 259-276.
    • (1995) Georgian Mathematical Journal , vol.2 , Issue.2-3 , pp. 123-140
    • Duduchava, R.1    Natroshvili, D.2    Shargorodsky, E.3
  • 48
    • 0141632498 scopus 로고
    • Layer potentials and boundary value problems for elliptic systems in Lipschitz domains
    • Gao, W. Layer potentials and boundary value problems for elliptic systems in Lipschitz domains. Journal of Functional Analysis 1991; 95:377-399.
    • (1991) Journal of Functional Analysis , vol.95 , pp. 377-399
    • Gao, W.1
  • 51
    • 0042604698 scopus 로고
    • Method of successive approximations for a Fredholm integral equation of the first kind
    • (in Russian)
    • Fridman VM. Method of successive approximations for a Fredholm integral equation of the first kind. Uspekhi Matematiches kikh Nauk 1956; 11(1):233-234 (in Russian).
    • (1956) Uspekhi Matematiches Kikh Nauk , vol.11 , Issue.1 , pp. 233-234
    • Fridman, V.M.1
  • 53
    • 0001929311 scopus 로고    scopus 로고
    • Potential theory on lipschitz Domains: Sobolev-besov space results and the poisson problem
    • Mitrea M, Taylor M. Potential theory on Lipschitz domains: Sobolev-Besov space results and the Poisson problem. Journal of Functional Analysis 2000; 176:1-79.
    • (2000) Journal of Functional Analysis , vol.176 , pp. 1-79
    • Mitrea, M.1    Taylor, M.2
  • 54
    • 0000271720 scopus 로고
    • The inhomogeneous Dirichlet problem in Lipschitz domains
    • Jerison D, Kenig C. The inhomogeneous Dirichlet problem in Lipschitz domains. Journal of Functional Analysis 1995; 130:161-219.
    • (1995) Journal of Functional Analysis , vol.130 , pp. 161-219
    • Jerison, D.1    Kenig, C.2
  • 58
    • 0039021487 scopus 로고    scopus 로고
    • Non-classical mixed interface problems for anisotropic bodies
    • Jentsch L, Natroshvili D. Non-classical mixed interface problems for anisotropic bodies. Mathematische Nachrichten 1996; 179:161-186.
    • (1996) Mathematische Nachrichten , vol.179 , pp. 161-186
    • Jentsch, L.1    Natroshvili, D.2
  • 59
    • 0040682330 scopus 로고    scopus 로고
    • General transmission problems in the theory of elastic oscillations of anisotropic bodies (Basic interface problems)
    • Jentsch L, Natroshvili D, Wendland WL. General transmission problems in the theory of elastic oscillations of anisotropic bodies (Basic interface problems). Journal of Mathematical Analysis and Applications 1998; 220:397-433.
    • (1998) Journal of Mathematical Analysis and Applications , vol.220 , pp. 397-433
    • Jentsch, L.1    Natroshvili, D.2    Wendland, W.L.3
  • 60
    • 0005644109 scopus 로고    scopus 로고
    • General transmission problems in the theory of elastic oscillations of anisotropic bodies (Mixed interface problems)
    • Jentsch L, Natroshvili D, Wendland WL. General transmission problems in the theory of elastic oscillations of anisotropic bodies (Mixed interface problems). Journal of Mathematical Analysis and Applications 1999; 235:418-434.
    • (1999) Journal of Mathematical Analysis and Applications , vol.235 , pp. 418-434
    • Jentsch, L.1    Natroshvili, D.2    Wendland, W.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.