State Space Solution Of The Two-dimensional Problem In Smart Materials

Intelligent materials are able to sense environmental change and, through self-judgment to draw conclusions and implement the relevant directives of the kind of functional material, it is the development of modern high-tech and new materials is one important direction, will support the future development of high-tech, traditional significance under the functional and structural materials, the boundaries between the gradual disappearance of the function of structure, functional diversity. Therefore, scientists predict the successful development of smart materials and large-scale applications will lead to the development of materials science another major change. Smart materials requested material system set perception, self-diagnostic, adaptive, self-repair function of early species are very few smart materials, and adapt to a very narrow face, single function, with the scientific and technological development, people began several smart materials functions are processed, and Among the materials using some new materials and devices, Shi they have one or multiple, significantly the expansion of the field of smart materials for applications. Intelligent structure system which is composed of intelligent materials is a kind of defense structure system. It is sensor,controller and carrier integrated in the structure, provides health self-diagnosing, environment self-adapting, harm self-healing up and some intelligent function and life character, and achieved the objectives of strengthening structure safety, reducing mass, decreasing energy consuming, enhancing performance. The birth of intelligent structure system is the result of permeating and merging in information subject, engineering subject and material subject. It has shown favorable application prospect in some important engineering and tip technology fields such as the structure health monitor of aviation craft, submarine, speed-train, automobile, bridge, dam, bank and building, control of vibration, noise and shape, harm self-healing so on. This paper is based on study, simply introduced the study actuality of piezoelectric piezomagnetic materials and their application in civil engineering. In this paper, discard any displacement or stress patterns on the artificial assumption, the introduction of state-space theory, fundamental equations of the two-dimensional problem for transversely isotropy piezoelectric-piezomagnetic and elastic media were observed. The state vector equation of the transversely isotropic two-dimensional problem in piezoelectric, piezomagnetic and elastic media is established, get the state space solution, Based on this, it studies piezoelectric materials and piezoelectric, piezomagnetic materials in spherical coordinates, not accounting the body force, body electric charge and body electric current, deduces the general solutions of stress,strain,displacement,electro-displacement, electric field strength, electric potential, magnetic strength, magnetic potential and other variables. At the same time considering that under varied boundary conditions, applies the general solutions into stress, electrics short circuit, displacement, electrics open circuit and magnetic field boundary conditions, the solutions under varied conditions are obtained.