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What are the basic equations for piezoelectric materials?
What are the constitutive relations in piezoelecticity?
What is piezoelectricity in chemistry?
What are the relations between electro-elastic material constants appearing in different piezoelectric equations?
The basic equations for piezoelectric materials include balance laws, gradient and constitutive relations. The constitutive relations are usually called piezoelectric equations in the theory of piezoelecticity, which describe the interaction effect among stress, strain, electric displacement; and electric field.
- Daining Fang, Jinxi Liu
- 2013
Observed phenomenon. Piezoelectricity is the ability of some materials (notably crystals and certain ceramics) to generate an electric charge in response to applied mechanical stress. If the material is not short-circuited, the applied charge induces a volt-age across the material. Reversibility.
- 280KB
- 9
Piezoelectric Constitutive Equations. A.1 Three-Dimensional Form of the Linear Piezoelectric Constitutive Equations. In general, poled piezoceramics (such as PZT-5A and PZT-5H) are transversely isotropic materials.
The piezoelectric constants relating the mechanical strain produced by an applied electric field are termed the piezoelectric deformation constants, or the “d” coefficients. They are expressed in meters per volt [m/V].
Piezoelectricity is described mathematically within a material's constitutive equation, which defines how the piezoelectric material's stress ( T ), strain ( S ), charge-density displacement ( D ), and electric field ( E) interact.
Piezoelectric materials combine these two seemingly dissimilar constitutive equations into one coupled equation, written as: The piezoelectric coupling terms are in the matrix d .
