Optimal polynomial thermoelastic stability of a composite material

A design model to predict optimal two-material composite structures

1 I n t r o d u c t i o n We address the problem of how to predict the optimal configuration of a continuum structure composed of two distinct, linearly elastic materials. The problem is cast in a form that has the stiffer of the component materials treated as "designable", while properties of the second, less-stiff material are taken to be specified and fixed. The goal in the treatment of this...

A polynomial training algorithm for calculating perceptrons of optimal stability

Recomi (Repeated correlation matrix inversion) is a polynomially fast algorithm for searching optimally stable solutions of the perceptron learning problem. For random unbiased and biased patterns it is shown that the algorithm is able to find optimal solutions, if any exist, in at worst O(N) floating point operations. Even beyond the critical storage capacity αc the algorithm is able to find l...

Effect of Material Properties on the Stability of Static Thermoelastic Contact

When heat is conducted across an interface between two different materials, the interaction between thermoelastic distortion and thermal contact resistance can cause the system to be unstable. This paper investigates the influence of material properties on the stability criterion for an interface between two half planes. It is found that most material combinations exhibit one or other of two ki...

Polynomial Decay to Thermoelastic Plates with Memory

Wave propagation in a generalized thermoelastic material with voids

In the present paper, the propagation of surface wave in a generalized thermoelastic solid with voids is considered. The governing equations are solved to obtain the general solution in x-z plane. The appropriate boundary conditions at an interface between two dissimilar half-spaces are satisfied by appropriate particular solutions to obtain the frequency equation of the surface wave in the med...