On the Saint-Venant principle in the case of infinite energy
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OpenAlex topics: Mathematical and Theoretical Analysis · Advanced Thermodynamics and Statistical Mechanics · Quantum Mechanics and Applications
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References (12)
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2. C.O. Horgan, Recent developments concerning Saint-Venant's principle: an update, Applied Mechanics Review 42 (1989) 11.10.1115/1.3152414 ↗
3. J.J. Roseman and S. Zimering, On the spatial decay of the energy for some quasi-linear boundary value problems in semi-infinite cylinders. J. Math. Anal. Appl. 139 (1989) 194–204.10.1016/0022-247X(89)90238-2 ↗
4. S. Breuer and J.J. Roseman, On spatial energy decay for quasilinear boundary value problems in cone-like and exterior domains. Diff. and Int. Equations 2 (1989) 310–325.
5. C.O. Horgan and L.E. Payne, Decay estimates for second-order quasi-linear partial differential equations. Advances in Appl. Math. 5 (1984) 309–332.10.1016/0196-8858(84)90012-5 ↗
6. R.A. Toupin, Sain-Venant's principle, Arch. Rational Mech. Anal. 18 (1965) 83–96.10.1007/BF00282253 ↗
7. J.J. Roseman, An integral bound on the strain energy of the traction problem in non-linear elasticity with sufficiently small strains. Int. J. Non-linear Mechanics 16 (1981) 317–324.10.1016/0020-7462(81)90045-7 ↗
8. M.E. Gurtin, The linear theory of elasticity. In: C. Truesdell (ed.), Encyclopedia of Physics, Vol. VIa/2, Mechanics of Solids II, Springer-Verlag (1972).
9. C.O. Horgan and L.E. Payne, Decay estimates for a class of second-order quasilinear equations in three dimensions. Arch. Rational Mech. Anal. 86 (1984) 279–289.10.1007/BF00281559 ↗
10. C.O. Horgan and L.E. Payne, On Saint-Venant's principle in finite antiplane shear: an energy approach. Arch. Rational Mech. Anal. 109 (1990) 107–138.10.1007/BF00405239 ↗
11. C.O. Horgan and L.E. Payne, Decay estimates for a class of nonlinear boundary-value problems in two dimensions. SIAM J. Math. Anal. 20 (1989) 782–788.10.1137/0520055 ↗
12. P.R. Garabedian, Partial Differential Equations, New York: John Wiley & Sons (1964).