Kinematic compatibility conditions of third order for a three-dimensional surface vector field

Thomas, R. S. D.

doi:10.1090/qam/1486540

Author: R. S. D. Thomas
Journal: Quart. Appl. Math. 55 (1997), 635-657
MSC: Primary 53A17; Secondary 73B99
DOI: https://doi.org/10.1090/qam/1486540
MathSciNet review: MR1486540
Full-text PDF Free Access

H. Cohen and R. S. D. Thomas, Plane wave propagation and evolution for quasilinear hyperbolic systems, Utilitas Math. 24 (1983), 199–233. MR 724771
H. Cohen and R. S. D. Thomas, Transient waves in inhomogeneous anisotropic elastic plates, Acta Mech. 58 (1986), no. 1-2, 41–57. MR 838780, DOI https://doi.org/10.1007/BF01177105
H. Cohen and R. S. D. Thomas, Transient waves in inhomogeneous anisotropic elastic plates, Acta Mech. 58 (1986), no. 1-2, 41–57. MR 838780, DOI https://doi.org/10.1007/BF01177105
H. Cohen and R. S. D. Thomas, Transient waves in inhomogeneous anisotropic elastic shells, Acta Mech. 77 (1989), no. 1-2, 47–67. MR 994888, DOI https://doi.org/10.1007/BF01379742
H. Cohen and R. S. D. Thomas, Transient waves in inhomogeneous elastic shells of variable thickness, Acta Mech. 83 (1990), no. 3-4, 177–186. MR 1076043, DOI https://doi.org/10.1007/BF01172979
H. Cohen and C.-C. Wang, On compatibility conditions for singular surfaces, Arch. Rational Mech. Anal. 80 (1982), no. 3, 205–261. MR 674546, DOI https://doi.org/10.1007/BF00251488

John M. Lee, Ricci: a Mathematica package for doing tensor calculations in differential geometry, 1992 (unpublished; available on WWW from http://www.wri.com/WWWDocs/mathsource/ or by FTP from mathsource.wri.com)

R. S. D. Thomas, Kinematic compatibility conditions for a three-dimensional vector field on a moving surface, Utilitas Math. 43 (1993), 7–32. MR 1220681
R. S. D. Thomas, Geometric compatibility conditions of third order for a three-dimensional surface vector field, Algebras Groups Geom. 10 (1993), no. 2, 149–167. MR 1233392

R. S. D. Thomas, Third-order kinematic compatibility conditions for a vector field on an embedded surface, Technical Report 1994-09-1, Department of Applied Mathematics, University of Manitoba, September, 1994

Tracy Y. Thomas, Plastic flow and fracture in solids, Mathematics in Science and Engineering, Vol. 2, Academic Press, New York-London, 1961. MR 0127630
C. Truesdell and R. Toupin, The classical field theories, Handbuch der Physik, Bd. III/1, Springer, Berlin, 1960, pp. 226–793; appendix, pp. 794–858. With an appendix on tensor fields by J. L. Ericksen. MR 0118005