Abstract
A mathematically well defined criterion is developed to realize, with the help of finite element and optimization methods, the shape optimization of biaxial cruciform specimens for anisotropic elastic materials. Numerical simulations of off-axes tests on an orthotropic Cu-Zn alloy reveal the decisive superiority of the optimized specimen compared with specimen designs proposed in the literature, as well as the paramount importance of an original off-axes testing device conceived for the proper performance of biaxial off-axes tests. A series of biaxial tests on aluminium alloy indicates the abundance of results which can be obtained from a single optimized cruciform specimen, when the mechanical concept and the servocontrol system of a direct biaxial testing machine are adequately devised.
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References
J.P. Boehler, S. Demmerle and S. Koss, A New Direct Biaxial Testing Machine for Anisotropic Materials, Experimental Mechanics, 34, 1 (1994) 1 - 9.
E. Schiratori and K. Ikegami, A New Biaxial Tensile Testing Machine with Flat Specimen, Bul. Tokyo Inst. of Tech., 82, (1967) 105 - 118.
D.R. Hayhurst, A Biaxial-Tension Creep-Rupture Testing Machine, J. Strain Analysis, 8, 2 (1973) 119 - 123.
D.A. Kelly, Problems in Creep Testing under Biaxial Stress Systems, J. Strain Analysis, 11, 1 (1976) 1 - 6.
A. Makìnde, A. Thibodeau, and K.W. Neale Development of an Apparatus for Biaxial Testing Using Cruciform Specimens, Experimental Mechanics, 32, 2 (1992) 138 - 144.
J.P. Boehler, Applications of Tensor Functions in Solid Mechanics, (edited by J.P. Boehler ), Springer-Verlag, Wien (1987) 3 - 139.
J.P. Boehler, L. El Aoufi and J. Raclin, On Experimental Testing Methods for Anisotropic Materials, Res. Mech., 21(1987) 73-95.
S. Demmerle and J.P. Boehler, Optimal Design of Biaxial Tensile Cruciform Specimens, J. Mech. Phys. Solids, 41, 1 (1993) 143 - 181.
S. Demmerle, Optimisation des Essais Biaxiaux Directs sur les Métaux Laminés, Thèse de Doctorat, Un. Grenoble I (1993).
E. Mönch and D. Galster, A Method for Producing a Defined Uniform Biaxial Tensile Stress Field, Brit. J. Appl. Physics, 14 (1963) 810 - 812.
X.C. Liu and G.A. Alers, The Anisotropy of Young’s Modulus in Cold-Rolled Sheets of Binary Cu-Zn Alloys, Trans. Metall. Soc. of AIME, 236 (1966) 489 - 495.
G.E.P. Box, W.G. Hunter and J.S. Hunter, Statistics for Experimenters, John Wiley, New York (1978).
W.H. Press, B.P. Flannery, S.A. Teukolsky and W.T. Vetterling, Numerical Recipes, Cambridge University Press (1989).
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© 1995 Springer Science+Business Media Dordrecht
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Boehler, J.P., Demmerle, S. (1995). Optimization of Direct Biaxial Testing of Anisotropic Materials. In: Parker, D.F., England, A.H. (eds) IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics. Solid Mechanics and Its Applications, vol 39. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8494-4_1
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DOI: https://doi.org/10.1007/978-94-015-8494-4_1
Publisher Name: Springer, Dordrecht
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