Gotowa bibliografia na temat „Solids with microstructure”

It is well known that structural behaviors of composite solids are determined by topology of microstructures of different sizes. In this paper a concurrent topology optimization method for integrated design of materials and structures with periodical microstructure was presented. The microstructures were assumed to be uniform in macro scale and heterogeneous in micro scale and the optimization object was to maximize the material fundamental frequency. Design variables for structure and material microstructures were defined, independently. RAMP (Rational Approximation ofMaterial Properties) was adopted to ensure clear topologies in both macro and micro scales. Design variables for structure and material microstructures were integrated into one system by using the super-element method. Influences of Representative Volume Element sizes, the microstructure configuration and macro arrangement are investigated. Numerical experiments validate the proposed method which can be used as an innovative design concept for the lightweight structures.

This paper deals with the mathematical characterization of microstructure in elastic solids. We formulate our ideas in terms of rank-one convexity and identify the set of probability measures for which Jensen's inequality for this type of functions holds. This is the set of laminates. We also introduce generalized convex hulls of sets of matrices and investigate their structure.

Metals and alloys under irradiation with energetic particles such as electrons, neutrons, or ions are open dissipative systems far from thermodynamic equilibrium. The continuous production, diffusion, and annihilation of point defects result in microstructural changes in the irradiated materials. Under proper conditions, self-organization of the microstructure is experimentally observed. Examples are the void lattice, periodic concentration fluctuations of dislocation loops, and irradiation-induced homogeneous precipitation in undersaturated alloys. The theoretical description rests on a coupling of the point defects with the microstructure by nonlinear reactions. In general, a complicated reaction scheme has to be investigated. In practice, however, a simplified reaction model is applicable from which the minimum requirements for self-organization can be derived by using a linear stability analysis. In a special case of the reaction scheme it is possible to evaluate exact stationary solutions of the appropriate diffusion-reaction equations. They show the stabilizing effect of the annihilation of the point defects by recombination and at neutral sinks against pattern formation. A stability diagram for irradiation-induced periodic structures is developed that gives the temperature and displacement range where self-organization of loop arrangement is possible, and that is in good accordance with the experimental results.