Mechanical Engineers Outlook

Guide for those interested in becoming a mechanical engineer. Includes qualifications, pay, and job duties.

CNC Machining Design Guide

Optimize your designs, reduce machining time, and lower your costs.

Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

3D Scanners

A white paper to assist in the evaluation of 3D scanning hardware solutions.

more free publications
All Constitutive Forms
The four possible forms for piezoelectric constitutive equations are shown below. The names for each of the forms is arbitrary; they were taken from the two dependent variables on the left-hand-side of each equation. Note that the Voltage and Electric Field variables are related via a gradient.
Strain-Charge Form: Stress-Charge Form:
Constitutive Law: Strain-Charge Form Constitutive Law: Strain-Charge Form
Strain-Voltage Form: Stress-Voltage Form:
Constitutive Law: Strain-Voltage Form Constitutive Law: Stress-Voltage Form
Transformations
Matrix transformations for converting piezoelectric constitutive data from one form into another form are shown below. Only 4 out of the 6 possible combinations are shown.
Strain-Charge to Stress-Charge: Strain-Charge to Strain-Voltage:
Transform: d to e Transform: d to g
Stress-Charge to Stress-Voltage: Strain-Voltage to Stress-Voltage:
Transform: e to q Transform: g to q
See the Symbol Definition page for the units and dimensions of the constitutive matrices shown here.

See Subscript Definitions for an explanation to the subscripts on the constitutive matrices.

Mechanical Engineers Outlook

Guide for those interested in becoming a mechanical engineer. Includes qualifications, pay, and job duties.

CNC Machining Design Guide

Optimize your designs, reduce machining time, and lower your costs.

Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

3D Scanners

A white paper to assist in the evaluation of 3D scanning hardware solutions.