two-layered plates, effective properties, cubic crystals, hexagonal crystals

The problem of longitudinal tesnsion of two-layered plate of hexagonal and cubic crystals with different orientations of crystallophysic coordinate systems is discussed. Analytical dependences of effective Young’s modulus and Poisson’s ratios on layer thickness ratio are obtained. Numerical analysis of plates from all possible combinations of hexagonal and cubic crystals is performed. It is established that significant deviation of effective Young’s modulus values from predictions by mixture rule takes place in the case when one of the layers is auxetic. Effective Young’s modulus can have greater value than values of Young’s modulus of crystals at both layers. The ratio of Young’s modulus of crystals has great influence on the value of effective Poisson’s ratio.

Volkov Mikhail Andreevich, Ph. D. Phys. & Math., Researcher, Ishlinsky Institute for Problems in Mechanics RAS, Moscow, Russia.

Demin Aleksandr Ivanovich, Postgraduate Stud., Ishlinsky Institute for Problems in Mechanics RAS, Moscow, Russia.

Gorodtsov Valentin Aleksandrovich, Dr. Sc. Phys. & Math., Professor, Leading Researcher, Ishlinsky Institute for Problems in Mechanics RAS, Moscow, Russia.

Lisovenko Dmitry Sergeevich, Dr. Sc. Phys. & Math., Leading Researcher, Ishlinsky Institute for Problems in Mechanics RAS, Moscow, Russia.