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where, is the hygral strain in laminate. The stress in global direction is given as
The resultant in-plane forces are given as
where,
is defined as the resultant in-plane forces per unit length due to hygral strains.
where,
is defined as resultant moments per unit length due to hygral strains. Combining Equation (5.116) and Equation (5.118), we write
The inverse of this equation is written as
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