References

CONSTITUTIVE THEORIES FOR INTERNAL POLAR THERMOELASTIC SOLID CONTINUA


[1] K. S. Surana, J.N. Reddy, D. Nunez, and M. Powell. A polar continuum theory for solid continua. International J. of Engg. Research and Indu. Appls., 8(2):77–106, 2015.

[2] K. S. Surana, M. Powell, and J.N. Reddy. A more complete thermodynamic framework for solid continua. Journal of Thermal Engineering, 1(6):446–459, 2015.

[3] K. S. Surana. Advanced Mechanics of Continua. CRC/Taylor & Francis, 2014.

[4] J. N. Reddy. An introduction to continuum mechanics. Cambridge University Press, Cambridge, 2013.

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[8] GF Smith. On isotropic integrity bases. Archive for rational mechanics and analysis, 18(4):282–292, 1965.

[9] GF Smith. On a fundamental error in two papers of CC Wang “on representations for isotropic functions”, part i and ii, arch. Ratl. Mech. Anal, 36, 1970.

[10] GF Smith. On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors. International Journal of Engineering Science, 9(10):899–916, 1971.

[11] A JM Spencer. The invariants of six symmetric matrices. Archive for rational mechanics and analysis, 7(1):64–77, 1961.

[12] AJM Spencer. Isotropic integrity bases for vectors and second-order tensors. Archive for rational mechanics and analysis, 18(1):51–82, 1965.

[13] Anthony James Merrill Spencer and RS Rivlin. Finite integrity bases for five or fewer symmetric matrices. Archive for rational mechanics and analysis, 2(1):435–446, 1958.

[14] Anthony James Merrill Spencer and Ronald S Rivlin. The theory of matrix polynomials and its application to the mechanics of isotropic continua. Archive for rational mechanics and analysis, 2(1):309–336, 1958.

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[17] C.C. Wang. On representations for isotropic functions. Archive for Rational Mechanics and Analysis, 33(4):249–267, 1969. 150 K. S. SURANA et al.

[18] C.C. Wang. On representations for isotropic functions. Archive for Rational Mechanics and Analysis, 33(4):268–287, 1969.

[19] C-C Wang. A new representation theorem for isotropic functions: An answer to professor GF Smith’s criticism of my papers on representations for isotropic functions. Archive for Rational Mechanics and Analysis, 36(3):166–197, 1970.

[20] C.-C. Wang. A new representation theorem for isotropic functions: An answer to professor G. F. Smith’s criticism of my papers on representations for isotropic functions. Archive for Rational Mechanics and Analysis, 36(3):198–223, 1970.

[21] C-CWang. Corrigendum to my recent papers on âĂIJ representations for isotropic functionsâĂİ. Archive for rational mechanics and analysis, 43(5):392–395, 1971.

[22] S Pennisi and M Trovato. On the irreducibility of professor GF Smith’s representations for isotropic functions. International journal of engineering science, 25(8):1059–1065, 1987.

[23] K. S. Surana and J. N. Reddy. Mathematics of computations and the finite element method for boundary value problems. Book manuscript in progress, 2015.

[24] Karan S Surana, Ali R Ahmadi, and JN Reddy. The k-version of finite element method for self-adjoint operators in bvp. International Journal of Computational Engineering Science, 3(02):155–218, 2002.

[25] Karan S Surana, Ali R Ahmadi, and JN Reddy. The k-version of finite element method for non-self-adjoint operators in bvp. International journal of computational engineering science, 4(04):737–812, 2003.

[26] Karan S Surana, Ali R Ahmadi, and JN Reddy. The k-version of finite element method for nonlinear operators in bvp. International journal of computational engineering science, 5(01):133–207, 2004.

[27] Daniel Winterscheidt and Karan S Surana. p-version least-squares finite element formulation for convection-diffusion problems. International journal for numerical methods in engineering, 36(1):111–133, 1993.

[28] Daniel Winterscheidt and Karan S Surana. p-version least squares finite element formulation for two-dimensional, incompressible fluid flow. International journal for numerical methods in fluids, 18(1):43–69, 1994.

[29] Brent C Bell and Karan S Surana. A space–time coupled p-version least-squares finite element formulation for unsteady fluid dynamics problems. International journal for numerical methods in engineering, 37(20):3545–3569, 1994.

[30] Brent C Bell and Karan S Surana. A space-time coupled p-version least squares finite element formulation for unsteady two-dimensional navier–stokes equations. International journal for numerical methods in engineering, 39(15):2593–2618, 1996.