Laminate Coefficients of Hygral Expansion

Boomi Nathan
1 Min Read
Disclosure: This website may contain affiliate links, which means I may earn a commission if you click on the link and make a purchase. I only recommend products or services that I personally use and believe will add value to my readers. Your support is appreciated!

Here we derive the laminate coefficients hygral expansion, , for symmetric laminates. Let us define the coefficient of hygral expansion for laminate as laminate mid-plane strains to the per percentage change in moisture absorption, . Thus,

(5.121)

For symmetric laminates with hygral loads alone, we can write

(5.122)

Combining Equation (5.121) and Equation (5.122), we get

(5.123)

For a uniform moisture absorption the equivalent hygral force is given as

(5.124)

Thus, the laminate coefficient of hygral expansion becomes

(5.125)

It is known that the  and  are constant in each lamina in thickness direction. Thus, the integration over thickness can be simplified as summation over laminae thicknesses as

(5.126)

Combining Equation (5.124) and Equation (5.125) we can get the effective hygral force as

(5.127)

Figure 5.15 shows the variation of  for  laminate along with  of a layer of  for T300/5208 material from Pipes et al [5]. Similarly, Figure 5.16 and Figure 5.16 show the variation of  and .

Figure 5.15: Variation of  for lamina and of  for  laminate
Figure 5.16: Variation of  for lamina and of  for  laminate
Figure 5.17: Variation of  for lamina and of  for  laminate
Share This Article

J. BoomiNathan is a writer at SenseCentral who specializes in making tech easy to understand. He covers mobile apps, software, troubleshooting, and step-by-step tutorials designed for real people—not just experts. His articles blend clear explanations with practical tips so readers can solve problems faster and make smarter digital choices. He enjoys breaking down complicated tools into simple, usable steps.

Leave a review