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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

Salary Expectation

8 things to know about the interview question "What's your salary expectation"?

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Direct Metal Laser Sintering (DMLS) 3D printing for parts with reduced cost and little waste.

Injection Molding Design Guide

Guide for high quality and cost-effective plastic injection molding.

CNC Machining Design Guide

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