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Volumn 42, Issue 20, 2005, Pages 5377-5398

Cosserat (micropolar) elasticity in Stroh form

Author keywords

Cosserat theory; Stroh formalism

Indexed keywords

ANISOTROPY; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; FUNCTIONS; LAPLACE TRANSFORMS; LINEAR SYSTEMS; MAGNETOELECTRIC EFFECTS; PIEZOELECTRIC MATERIALS; STRAIN; TENSORS;

EID: 21244454924     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.02.036     Document Type: Article
Times cited : (14)

References (46)
  • 1
    • 21844513094 scopus 로고
    • Elasticity of multilayers, Part I: Basic equations and solutions
    • V.I. Alshits, and H.O.K. Kirchner Elasticity of multilayers, Part I: Basic equations and solutions Philos. Mag. A 72 1995 1431 1444
    • (1995) Philos. Mag. A , vol.72 , pp. 1431-1444
    • Alshits, V.I.1    Kirchner, H.O.K.2
  • 2
    • 21844505528 scopus 로고
    • Elasticity of multilayers, Part II: Strips, coatings and sandwiches
    • V.I. Alshits, and H.O.K. Kirchner Elasticity of multilayers, Part II: Strips, coatings and sandwiches Philos. Mag. A 72 1995 1445 1470
    • (1995) Philos. Mag. A , vol.72 , pp. 1445-1470
    • Alshits, V.I.1    Kirchner, H.O.K.2
  • 3
    • 57249099678 scopus 로고    scopus 로고
    • Cylindrically anisotropic, radially inhomogeneous elastic materials
    • V.I. Alshits, and H.O.K. Kirchner Cylindrically anisotropic, radially inhomogeneous elastic materials Proc. Roy. Soc. A 457 2001 671 693
    • (2001) Proc. Roy. Soc. A , vol.457 , pp. 671-693
    • Alshits, V.I.1    Kirchner, H.O.K.2
  • 4
    • 0001227189 scopus 로고
    • On the existence of interface waves in half-infinite anisotropic elastic media with piezoelectronic and piezomagnetic properties
    • V.I. Alshits, A.N. Darinskii, and J. Lothe On the existence of interface waves in half-infinite anisotropic elastic media with piezoelectronic and piezomagnetic properties Wave motion 16 1992 265 283
    • (1992) Wave Motion , vol.16 , pp. 265-283
    • Alshits, V.I.1    Darinskii, A.N.2    Lothe, J.3
  • 5
    • 0035439262 scopus 로고    scopus 로고
    • Elasticity of multilayers. Properties of the propagator matrix and some applications
    • V.I. Alshits, H.O.K. Kirchner, and G.A. Maugin Elasticity of multilayers. Properties of the propagator matrix and some applications Math. Mech. Solids 6 2001 481 502
    • (2001) Math. Mech. Solids , vol.6 , pp. 481-502
    • Alshits, V.I.1    Kirchner, H.O.K.2    Maugin, G.A.3
  • 7
    • 0031184684 scopus 로고    scopus 로고
    • A proof of the equivalence of the Stroh and Lekhnitskii sextic equations for plane anisotropic elastostatics
    • D.M. Barnett, and H.O.K. Kirchner A proof of the equivalence of the Stroh and Lekhnitskii sextic equations for plane anisotropic elastostatics Philos. Mag. A 76 1997 231 239
    • (1997) Philos. Mag. A , vol.76 , pp. 231-239
    • Barnett, D.M.1    Kirchner, H.O.K.2
  • 9
    • 0016450816 scopus 로고
    • Dislocations and line charges in anisotropic piezoelectric insulators
    • D.M. Barnett, and J. Lothe Dislocations and line charges in anisotropic piezoelectric insulators Phys. Status Solidi B 67 1975 105 111
    • (1975) Phys. Status Solidi B , vol.67 , pp. 105-111
    • Barnett, D.M.1    Lothe, J.2
  • 10
    • 0029321768 scopus 로고
    • Critical angles in bending of rotationally inhomogeneous elastic wedges
    • A.Y. Belov, and H.O.K. Kirchner Critical angles in bending of rotationally inhomogeneous elastic wedges J. Appl. Mech. 62 1995 429 440
    • (1995) J. Appl. Mech. , vol.62 , pp. 429-440
    • Belov, A.Y.1    Kirchner, H.O.K.2
  • 11
    • 21844510007 scopus 로고
    • Higher order weight functions in fracture mechanics of inhomogeneous anisotropic solids
    • A.Y. Belov, and H.O.K. Kirchner Higher order weight functions in fracture mechanics of inhomogeneous anisotropic solids Philos. Mag. A 72 1995 1471 1483
    • (1995) Philos. Mag. A , vol.72 , pp. 1471-1483
    • Belov, A.Y.1    Kirchner, H.O.K.2
  • 12
    • 0030158743 scopus 로고    scopus 로고
    • Universal weight functions for notches and cracks in elastically anisotropic, angularly inhomogeneous media with notches or cracks
    • A.Y. Belov, and H.O.K. Kirchner Universal weight functions for notches and cracks in elastically anisotropic, angularly inhomogeneous media with notches or cracks Philos. Mag. A 73 1996 1621 1646
    • (1996) Philos. Mag. A , vol.73 , pp. 1621-1646
    • Belov, A.Y.1    Kirchner, H.O.K.2
  • 13
    • 21244477689 scopus 로고
    • Stress functions for plane problems with couple stresses
    • D.E. Carlson Stress functions for plane problems with couple stresses Z. Angew. Math. Phys. 17 1966 789 792
    • (1966) Z. Angew. Math. Phys. , vol.17 , pp. 789-792
    • Carlson, D.E.1
  • 14
    • 2442602389 scopus 로고
    • On Günther's stress functions for couple stresses
    • D.E. Carlson On Günther's stress functions for couple stresses Quart. Appl. Math. 25 1967 139 146
    • (1967) Quart. Appl. Math. , vol.25 , pp. 139-146
    • Carlson, D.E.1
  • 15
    • 0347332094 scopus 로고
    • Foundations of the theory of surface waves in anisotropic elastic materials
    • P. Chadwick, and G.P. Smith Foundations of the theory of surface waves in anisotropic elastic materials Adv. Appl. Mech. 17 1977 303 376
    • (1977) Adv. Appl. Mech. , vol.17 , pp. 303-376
    • Chadwick, P.1    Smith, G.P.2
  • 16
    • 0002688371 scopus 로고
    • Van Nostrand Co. Princeton, New Jersey
    • P.C. Chou, and N.J. Pagano Elasticity 1967 Van Nostrand Co. Princeton, New Jersey
    • (1967) Elasticity
    • Chou, P.C.1    Pagano, N.J.2
  • 19
    • 0242334260 scopus 로고    scopus 로고
    • Electromagnetic theory of microstretch elasticity and bone modeling
    • A.C. Eringen Electromagnetic theory of microstretch elasticity and bone modeling Int. J. Eng. Sci. 42 2004 231 242
    • (2004) Int. J. Eng. Sci. , vol.42 , pp. 231-242
    • Eringen, A.C.1
  • 20
    • 0000149062 scopus 로고
    • Zur Statik und Kinematik des Cosseratschen Kontinuums
    • W. Günther Zur Statik und Kinematik des Cosseratschen Kontinuums Abh. Braunschweig. Wiss. Ges. 10 1958 195 213
    • (1958) Abh. Braunschweig. Wiss. Ges. , vol.10 , pp. 195-213
    • Günther, W.1
  • 22
    • 0242499495 scopus 로고    scopus 로고
    • Stroh-like complex variable formalism for the bending theory of anisotropic plates
    • C. Hwu Stroh-like complex variable formalism for the bending theory of anisotropic plates J. Appl. Mech. 70 2003 696 707
    • (2003) J. Appl. Mech. , vol.70 , pp. 696-707
    • Hwu, C.1
  • 23
    • 21244502761 scopus 로고
    • Lineare Elastizitätstheorie des anisotropen Cosserat-Kontinuums
    • S. Kessel Lineare Elastizitätstheorie des anisotropen Cosserat-Kontinuums Abh. Braunschweig. Wiss. Ges. 16 1964 1 22
    • (1964) Abh. Braunschweig. Wiss. Ges. , vol.16 , pp. 1-22
    • Kessel, S.1
  • 24
    • 0001392228 scopus 로고
    • Line defects along the axis of rotationally inhomogeneous media
    • H.O.K. Kirchner Line defects along the axis of rotationally inhomogeneous media Philos. Mag. A 55 1987 537 542
    • (1987) Philos. Mag. A , vol.55 , pp. 537-542
    • Kirchner, H.O.K.1
  • 25
    • 0024731637 scopus 로고
    • Elastically anisotropic angularly inhomogeneous media. I. A new formalism
    • H.O.K. Kirchner Elastically anisotropic angularly inhomogeneous media. I. A new formalism Philos. Mag. B 60 1989 423 432
    • (1989) Philos. Mag. B , vol.60 , pp. 423-432
    • Kirchner, H.O.K.1
  • 26
    • 0030267933 scopus 로고    scopus 로고
    • Elastically anisotropic angularly inhomogeneous media. Part II: Green's function for piezoelectric, piezomagnetic and magnetoelectric media
    • H.O.K. Kirchner, and V.I. Alshits Elastically anisotropic angularly inhomogeneous media. Part II: Green's function for piezoelectric, piezomagnetic and magnetoelectric media Philos. Mag. A 74 1996 861 885
    • (1996) Philos. Mag. A , vol.74 , pp. 861-885
    • Kirchner, H.O.K.1    Alshits, V.I.2
  • 27
    • 0000880769 scopus 로고
    • Kontinuumstheorie der Versetzungen und Eigenspannungen
    • E. Kröner Kontinuumstheorie der Versetzungen und Eigenspannungen Erg. d. Angew. Math. 5 1958
    • (1958) Erg. D. Angew. Math. , vol.5
    • Kröner, E.1
  • 28
    • 21244443624 scopus 로고
    • Über eine besondere Symmetrie zwischen Verschiebungen und Spannungsfunktionen in der ebenen Elastostatik
    • E. Kröner Über eine besondere Symmetrie zwischen Verschiebungen und Spannungsfunktionen in der ebenen Elastostatik Ing. Arch. 45 1976 217 221
    • (1976) Ing. Arch. , vol.45 , pp. 217-221
    • Kröner, E.1
  • 29
    • 0029400462 scopus 로고
    • On the torsional properties of single osteons
    • R.S. Lakes On the torsional properties of single osteons J. Biomech. 28 1995 1409 1410
    • (1995) J. Biomech. , vol.28 , pp. 1409-1410
    • Lakes, R.S.1
  • 33
    • 0029255565 scopus 로고
    • A duality principle and correspondence relations in elasticity
    • S. Nemat-Nasser, and L. Ni A duality principle and correspondence relations in elasticity Int. J. Solids Struct. 32 1995 467 472
    • (1995) Int. J. Solids Struct. , vol.32 , pp. 467-472
    • Nemat-Nasser, S.1    Ni, L.2
  • 34
    • 0030262688 scopus 로고    scopus 로고
    • A general principle in elasticity
    • L. Ni, and S. Nemat-Nasser A general principle in elasticity Mech. Mater. 24 1996 87 123
    • (1996) Mech. Mater. , vol.24 , pp. 87-123
    • Ni, L.1    Nemat-Nasser, S.2
  • 35
    • 0015989697 scopus 로고
    • On discrete dislocations in micropolar elasticity
    • W. Nowacki On discrete dislocations in micropolar elasticity Arch. Mech. 26 1974 3 11
    • (1974) Arch. Mech. , vol.26 , pp. 3-11
    • Nowacki, W.1
  • 37
    • 0028699898 scopus 로고
    • Stress functions for continua with couple stresses
    • Yu.Z. Povstenko Stress functions for continua with couple stresses J. Elasticity 36 1994 99 116
    • (1994) J. Elasticity , vol.36 , pp. 99-116
    • Povstenko, Yu.Z.1
  • 38
    • 0002146221 scopus 로고
    • Versuch einer Elastizitätstheorie des zweidimensionalen Cosserat-Kontinuums
    • Festschrift Tollmien, Berlin
    • Schaefer, H., 1962. Versuch einer Elastizitätstheorie des zweidimensionalen Cosserat-Kontinuums. Misz. Angew. Math., Festschrift Tollmien, Berlin, pp. 277-292
    • (1962) Misz. Angew. Math. , pp. 277-292
    • Schaefer, H.1
  • 39
    • 84981872310 scopus 로고
    • Das Cosserat-Kontinuum
    • H. Schaefer Das Cosserat-Kontinuum Z. Angew. Math. Mech. 47 1967 485 498
    • (1967) Z. Angew. Math. Mech. , vol.47 , pp. 485-498
    • Schaefer, H.1
  • 40
    • 21244454667 scopus 로고
    • Die Spannungsfunktionen eines Kontinuums mit Momentenspannungen
    • H. Schaefer Die Spannungsfunktionen eines Kontinuums mit Momentenspannungen Bull. Acad. Polon. Sci. Sér. Sci. Techn. 15 1967 71 81
    • (1967) Bull. Acad. Polon. Sci. Sér. Sci. Techn. , vol.15 , pp. 71-81
    • Schaefer, H.1
  • 41
    • 0038796659 scopus 로고    scopus 로고
    • A sextic formalism for three-dimensional elastodynamics of cylindrically anisotropic radially inhomogeneous materials
    • A.L. Shuvalov A sextic formalism for three-dimensional elastodynamics of cylindrically anisotropic radially inhomogeneous materials Proc. Roy. Soc. London A 459 2003 1611 1639
    • (2003) Proc. Roy. Soc. London A , vol.459 , pp. 1611-1639
    • Shuvalov, A.L.1
  • 42
    • 59349117946 scopus 로고
    • Some recent developments in the linear theory of elasticity, structural mechanics
    • Pergamon Press New York
    • E. Sternberg some recent developments in the linear theory of elasticity, structural mechanics Proceedings of the first symposium of naval structural mechanics 1960 Pergamon Press New York
    • (1960) Proceedings of the First Symposium of Naval Structural Mechanics
    • Sternberg, E.1
  • 43
    • 84924343758 scopus 로고
    • Dislocations and cracks in anisotropic elasticity
    • A.N. Stroh Dislocations and cracks in anisotropic elasticity Philos. Mag. 3 1958 625 646
    • (1958) Philos. Mag. , vol.3 , pp. 625-646
    • Stroh, A.N.1
  • 44
    • 84959688535 scopus 로고
    • Steady state problems in anisotropic elasticity
    • A.N. Stroh Steady state problems in anisotropic elasticity J. Math. Phys. 41 1962 77 103
    • (1962) J. Math. Phys. , vol.41 , pp. 77-103
    • Stroh, A.N.1
  • 46
    • 34547211204 scopus 로고    scopus 로고
    • Fracture of piezoelectronic ceramics
    • T.-Y. Zhang, M. Zhao, and P. Tong Fracture of piezoelectronic ceramics Adv. Appl. Mech. 38 2001 147 284
    • (2001) Adv. Appl. Mech. , vol.38 , pp. 147-284
    • Zhang, T.-Y.1    Zhao, M.2    Tong, P.3


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