Optimal Design with Advanced Materials : The

Optimal design with advanced materials is becoming a very progressive and challenging domain within applied mechanics. The increasing use of advanced materials, such as anisotropic fiber composites and ceramics, is instigating new developments to be made within constitutive modelling and the computational methods of analysis, sensitivity analysis and optimization. A new dimension of optimal design is being realised by the direct tailoring and building of new materials. Research in this area is accelerating rapidly with the results already being applied to high technology industries. Two vital high technology research areas covered in this volume include homogenization and smart materials/structures. The 31 papers will prove an indispensable reference source for all those involved in the interdisciplinary research and development aspects of mechanics, materials and mathematics in the design of advanced materials.

Frithiof Niordson anniversary	p. 2
Topology design using a material with self-optimizing microstructure	p. 7
Simulation of natural adaptation of bone material and application in optimum composite design	p. 25
Optimal design of anisotropic structural elements	p. 37
Optimal design based on power-law non-linear elasticity	p. 51
Optimal design with highly deformable materials	p. 67
Stereological quantification of the microstructure morphology for composite materials	p. 81
Tensile properties of whisker reinforced metals: variations with grain size	p. 97
Parameter identification for nonlinear constitutive models: finite element simulation - optimization - nontrivial experiments	p. 113
Natural vibrations of free thick plates and identification of transverse shear moduli	p. 131
Elaboration of optimal design models for objects from data of experiments	p. 149
Fundamental aspects of selecting materials based on NDI for delamination	p. 163
Convex and fuzzy modelling of uncertainties in the optimal design of composite structures	p. 173
Topology optimization of bi-material structures	p. 191
Design of crack-insensitive composite laminates	p. 207
Optimum design of laminated plates with respect to eigenvalues	p. 221
Optimal design with damping materials for vibration reduction	p. 235
Topology and shape optimization methods for structural dynamic problems	p. 247
Heuristic optimisation of composite structural components	p. 263
Composite structures preliminary design: the satisfaction of mechanical requirements	p. 281
Optimal design of composite and fibre-reinforced plates	p. 293
Layup optimization of composite material structures	p. 311
A model for layout optimization of plate structures	p. 337
Optimal design of advanced materials	p. 351
On optimal end closures made from woven CFRP	p. 367
Discrete and continuous reinforcement of materials and structures	p. 383
Optimization of composite topology for doubly-curved laminated shells under buckling constraints	p. 407
Direct relaxation of optimal layout problems for plates	p. 425
Necessary Weierstrass conditions in problems of an optimal structural design	p. 447
On implementation of partial relaxation for optimal structural compliance problems	p. 457
Effects in the optimization using brittle and ductile materials	p. 469
Optimal distribution of fibers in reinforced ceramics	p. 485
Author index	p. 501
Subject index	p. 505
List of participants	p. 511
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Optimal Design with Advanced Materials : The Frithiof Niordson Volume: Proceeding of the IUTAM Symposium on Optimal Design with Advance Materials, Lyngby, Denmark, 18-20 August 1992

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