Abstract
These lecture notes concern optimal plastic design of plane structures orthotropically reinforced by long fiber systems. These structures are considered as submitted to a plane state of stress or in bending. The problems are seen as distributed parameter optimization problems and are dealt with by means of a variational technique. In such a way, necessary conditions for optimal solutions are found and their mechanical interpretation discussed as well. In conclusion, an approach for approximate solutions fulfilling the optimality criteria is presented and the analogy with elastic solutions pointed out.
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References
Banichuck, N.V.: Optimization Problems for Elastic Anisotropic Bodies, Arch. Mech., 33 (1981), 347–363.
Pedersen, P.: On Optimal Orientation of Orthotropic Materials, Structural Optimization, 1 (1989), 101–106.
Pedersen, P.: Bound on Elastic Energy in Solids of Orthotropic Materials, DCAMM Report N. 391 (1989), The Technical Univ. of Denmark, Lyngby.
Pedersen, P.: Note on a Transformation combining Material and Element Rotation, DCAMM Report N. 394 (1989), The Technical University of Denmark, Lyngby.
Pedersen, P.: On Material Orientation for Maximum Stiffness or Flexibility, Proc. of the CEEC Course on Progetto e Analisi di Strutture in Materiale Composito, Milano, 28 May - 1 June 1990.
Bendsoe, M.Ph.: Optimal Shape Design as a Material Distribution Problem, Proc. of the COMETT Course on Computer Aided Optimal Design of Structures, Pavia, 4–8 September 1989.
Bendsoe, M.Ph.: Composites as a Basis for Topology Optimization, Proc. of The CEEC Course on Progetto e Analisi di Strutture in Materiale Composito, Milano, 28 May - 1 June 1990.
Olhoff, N. and Thomsen, J.: Optimization of Fiber Orientation and Concentration in Composites, Proc. of the CEEC Course on Progetto e Analisi di Strutture in Materiale Composito, Milano, 28 May - 1 June 1990.
Sacchi-Landriani, G. and Rovati, M.: Optimal Design for 2-D Structures Made of Composite Materials, J. Engng. Mater. and Technology (to appear).
Sacchi-Landriani, G. and Rovati, M.: Optimal Limit Design of Fiber-Reinforced Orthotropic Plane Systems, Proc. of the COMETT Course on Computer Aided Optimal Design of Structures, Pavia, 4–8 September 1989.
Rozvany, G.I.N.: Structural Design via Optimality Criteria, Kluwer Acad. Pub., Dordrecht (NL), 1989.
Prager, W.: Unespected Results in Structural Optimization, J. of Structural Mechanics, 9 (1981), 71–90.
Jones, R.M.: Mechanics of Composite Materials, McGraw Hill, New York, 1975.
Broutman, L.J. and Krock, R.H.: Composite Materials - Structural Design and Analysis, Academic Press, New York, 1975.
Lekhnitskii, S.G.: Theory of Elasticity of an Anisotropic Body, MIR Publ., Moscow, 1981.
Lekhnitskii, S.G.: Anisotropic Plates, Gordon & Breach, New York, 1968.
Save, M. and Prager, W.: Structural Optimization, Plenum Press, New York, 1985.
Haftka, R.T. and Gürdal, Z.: Elements of Structural Optimization, Kluwer Acad. Pub., Dordrecht (NL), 1992.
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© 1993 Springer-Verlag Wien
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Landriani, G.S., Rovati, M. (1993). Optimal Design of Fiber-Reinforced Orthotropic Bodies. In: Landriani, G.S., Salençon, J. (eds) Evaluation of Global Bearing Capacities of Structures. International Centre for Mechanical Sciences, vol 332. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2752-0_6
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DOI: https://doi.org/10.1007/978-3-7091-2752-0_6
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82493-1
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