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Composite Materials

Given the material properties of a unidirectional lamina, this calculator constructs the stiffness matrix [C] and the compliance matrix [S] of the lamina in the principal directions.

If the angle of rotation of the lamina is given (other than 0 degree), this calculator also constructs the stiffness matrix [] and the compliance matrix [] in the rotated directions.

Input

Unit
Unit of Stiffness:
Material Properties
Material:

If the material is not in the list, please select 'Custom' and enter the data.

Material:
Young's Modulus along Fibers E1 :
Young's Modulus Normal to Fibers E2 :
Shear Modulus G12 :
Poisson's Ratio 12 :
Angle of Rotation
Rotating Angle : degree
(0 degree is the principal direction)
Stress-Strain Relations for Lamina for Principal Directions

The stiffness matrix [C] in the principal directions is

[C] =

The compliance matrix [S] in the principal direction is

[S] =
Coordinate Transformation Matrix

The coordinate transformation matrix is

[T] = T

The engineering-tensor interchange matrix [R] is

R
Stiffness and Compliance Matrices for Angled Lamina

The stiffness matrix for a lamina of arbitry orient can be expressed in terms of the stiffness matrix in the principal direction,

[] =

The complicance matrix for a lamina of arbitry orient can be obtained in a similar manner.

[] =
Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

CNC Machining Design Guide

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

Injection Molding Design Guide

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

3D Scanners

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