Abstract
New materials such as fibre-reinforced laminates and other composites make it necessary to look at a material point as a microstructure that we can tailor to specific needs by design. From this follows that the application of tools from optimal designs has increased and is important also for solving the inverse problems, i.e. finding the microstructure that offers specified properties. Many different aspects are involved: design for elastic stiffness, design for thermal expansion, design for strength, design for piezoelastic behaviour, design for damage evolution, etc.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Autio, M. (1998) Coupled thermal-structural problems in the optimization of laminated plates, Structural Optimization 15, 49–56.
Bendsøe, M. P. (1995) Optimization of structural topology, shape and material, Springer.
Hammer, V. B. (1997) Design of composite laminates with optimized stiffness, strength and damage properties, DCAMM S 72, Ph.D. thesis, DTU.
Hammer, V. B., Bendsøe, M. P., Lipton, R. and Pedersen, P. (1997) Parametrization in laminate design for optimal compliance, Int. J. Solids Structures 34(4), 415–434.
Jones, R. M. (1975) Mechanics of composite materials, McGraw-Hill.
Pedersen, P. (1987) On sensitivity analysis and optimal design of specially orthotropic laminates, Eng. Opt. 11, 305–316.
Pedersen, P. (1995) Simple transformations by prober contracted forms: can we change the usual practice, Comm. in Num. Meth. in Eng. 11, 821–829.
Pedersen, P. (1998) Some general optimal design results using anisotropic, non-linear materials, Structural Optimization 15, 73–80.
Pedersen, P. and Tortorelli, D. A. (1998) Constitutive parameters and their evolution (submitted).
Sigmund, O. (1994a) Design of Material Structures using Topology Optimization, DCAMM S 69, Ph.D. thesis, DTU.
Sigmund, O. (1994b) Materials with prescribed constitutive parameters: an inverse homogenization problem, Int. J. Solids Struct. 31(17), 2313–2329.
Sigmund, O. (1995) Tailoring materials with prescribed elastic properties, Mech. Materials 20(4), 351–368.
Sigmund, O. and Torquato, S. (1996) Composites with extremal thermal expansion coefficients, Applied Physics Letters 69(21), 3203–3205.
Sigmund, O. and Torquato, S. (1997) Design of materials with extreme thermal expansion using a three-phase topology optimization method, J. of the Mechanics and Physics of Solids 45(6), 1037–1067.
Sigmund, O., Torquato, S. and Aksay, I. A. (1998) On the design of 1-3 piezo-composites using topology optimization, J. of Materials Research 13(4), 1038–1048.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Pedersen, P. (1999). Sensitivity Analysis and Inverse Problems for Laminates and Materials. In: Soares, C.A.M., Soares, C.M.M., Freitas, M.J.M. (eds) Mechanics of Composite Materials and Structures. NATO Science Series, vol 361. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4489-6_30
Download citation
DOI: https://doi.org/10.1007/978-94-011-4489-6_30
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-5871-8
Online ISBN: 978-94-011-4489-6
eBook Packages: Springer Book Archive