A coordinate-free approach to the kinematics of membranes
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OpenAlex topics: Micro and Nano Robotics
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References (14)
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1. W. Noll, A mathematical theory of the mechanical behavior of continuous media.Arch. Rational Mech. Anal. 2 (1958) 197?226.10.1007/BF00277929 ↗
2. C. Truesdell and W. Noll, The non-linear field theories of mechanics, S. Flügge'sHandbuch der Physik, Volume III/3. Springer-Verlag, Berlin etc., 1965.
3. C. Truesdell,A First Course in Rational Continuum Mechanics, Volume 1. Academic Press, New York etc., 1977.
4. J.E. Marsden and T.J.R. Hughes,Mathematical Foundations of Elasticity. Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1983.
5. M.E. Gurtin and A.I. Murdoch, A continuum theory of elastic material surfaces, Arch. Rational Mech. Anal. 57 (1975) 291?323.10.1007/BF00261375 ↗
6. M.M. Carroll and P.M. Naghdi, The influence of the reference geometry on the response of elastic shells,Arch. Rational Mech. Anal. 48 (1972) 302?318.10.1007/BF00250856 ↗
7. J.J. Cross, Theory of inhomogeneous membranes, Ph.D. thesis, Rice University, Houston, Texas, 1971.
8. H. Cohen and A.B. Berkal, Wave propagation in elastic membranes,Journal of Elasticity 2 (1972) 45?57.10.1007/BF00045693 ↗
9. P.M. Naghdi, Finite deformation of elastic rods and shells, pp. 47?103 of D.E. Carlson and R.T. Shield (eds.),Proceedings of the IUTAM Symposium on Finite Elasticity (1980: Lehigh University). Martinus Nijhoff Publishers, The Hague etc., 1982.
10. C. Truesdell and R. Toupin, The classical field theories, pp. 226?793 of S. Flügge'sHandbuch der Physik, Volume III/1. Springer-Verlag, Berlin etc., 1960.
11. W. Noll, On the continuity of the solid and fluid states,J. Rational Mech. Anal. 4 (1955) 3?81.
12. H. Richter, Zur Elastizitätstheorie endlicher Verformungen,Math. Nachr. 8 (1952) 65?73. Translated into English by C. Truesdell, ref. [13], pp. 17?23.10.1002/mana.19520080109 ↗
13. C. Truesdell (ed.),Continuum Mechanics III: Foundations of Elasticity Theory. Gordon & Breach, New York etc., 1965.
14. Chi-Sing Man and H. Cohen, A natural measure for the bending strain of deformed surfaces, estended abstract appeared inProceedings of the Tenth Canadian Congress of Applied Mechanics (London, Ontario, Canada, June 2?7, 1985), pp. A81?A82. Complete paper in preparation.