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Hooke's Law

The constitutive equation describes how the stresses and straines are related within the plate (Hooke's law).

In linear elasticity, the most generalized Hooke's law contains six (6) components of stresses that are linearly related to six (6) components of strains. Nevertheless, classical plate theory typically uses isotropic material in the Hooke's Equation.

The compliance (stress to strain) form is

The stiffness (strain to stress) form is

Note that the stresses and strains are functions of x, y, and z throughout the entire plate.

Constitutive Equation of Classical Plates Materials

Based on the kinematics of classical plates, the stress-strain relations can be simplified to

alternatively, they can be written as

and

which yields

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Wages, employment opportunities, and growth projections for STEM jobs.

Mechanical Engineers Outlook

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

Selecting the Right 3D Printer

Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.