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Constant-acceleration stresses in a composite body

In this paper, it is shown that the immersion analogy can be used in conjunction with models made of several materials, provided they have the same weight per unit volume

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Abstract

This paper is a contribution to the experimental stress analysis of composite structures subjected to gravitational forces. It is proved, generally, that the immersion analogy can be used to analyze these stresses in composite bodies provided all the materials of such bodies have the same weight per unit volume. Applications are described in two-dimensional problems immersing urethane-rubber models bonded to epoxy shells in a thallium-formate solution. Photoelasticity is used to determine stresses. The method increases the response obtained and will have application in the solution of problems where constant-acceleration stresses are important, as in dams and solid-propellant rocket grains.

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References

  1. Lianis, G., “Stresses and Strains in Solid Propellants During Storage,” American Rocket Society, Solid Propellant Rocket Conference, Salt Lake City, Utah (Feb. 1961).

  2. Ferrer, L., Parks, V. J. andDurelli, A. J., “An Experimental Method to Analyze Gravitational Stresses in Two-Dimensional Problems,”Development in Theoretical and Applied Mechanics, Vol. 3 Proceedings of the Third Southeastern Conference held in Columbia, South Carolina, March 1966, Pergamon Press, Oxford and New York (1967).

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  3. Parks, V. J., Durelli, A. J. andFerrer, L., “Gravitational Stresses Determined Using Immersion Techniques,”Jnl. of Applied Mech.,34 (3)583–590, (September1967).

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  4. Biot, M. A., “Distributed Gravity and Temperature Loading in Two-Dimensional Elasticity Replaced by Boundary Pressures and Dislocations,”Jnl. of Applied Mech.,2,Trans. ASME,57 (A-41–A-45) (1935).

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  5. Durelli, A. J., Parks, V. J., Feng, H. C. and Chiang, F., “Strain and Stresses in Matrices with Inserts,” Presented at the International Conference on the Mechanics of Composite Materials, Philadelphia, Pa. (May 1967).

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Authors and Affiliations

  1. Civil Engineering and Mechanics Department, The Catholic University of America, Washington, D.C.

    V. J. Parks (Associate Professor and Professor) & A. J. Durelli

  2. Instituto de Ingenieria, UNAM, (National University of Mexico), Mexico City, Mexico

    L. Ferrer (Research Associate)

Authors
  1. V. J. Parks
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  2. A. J. Durelli
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  3. L. Ferrer
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Parks, V.J., Durelli, A.J. & Ferrer, L. Constant-acceleration stresses in a composite body. Experimental Mechanics 10, 49–56 (1970). https://doi.org/10.1007/BF02320132

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  • DOI: https://doi.org/10.1007/BF02320132

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