Multiscale Modeling of Residual Stress Development in Continuous Fiber-Reinforced Unidirectional Thick Thermoset Composites

Table 4

Estimation of composite property evolution (from [15]).

Property description	Expression
Fiber volume fraction	𝑣𝑓
Longitudinal Young’s modulus	𝐸1=𝐸^𝑓𝑣𝑓+𝐸^𝑚1−𝑣^𝑓+4𝜈^𝑚−𝜈^𝑓2𝑘^𝑓𝑘^𝑚𝐺^𝑚1−𝑣𝑓𝑣𝑓𝑘^𝑓+𝐺^𝑚𝑘^𝑚+𝑘^𝑓−𝑘^𝑚𝐺^𝑚𝑣𝑓
Major Poisson’s ratio	𝜈12=𝜈13=𝜈^𝑓𝑣𝑓+𝜈^𝑚1−𝑣𝑓+1−𝜈^𝑚−𝜈^𝑓𝑘^𝑚−𝑘^𝑓𝐺^𝑚1−𝑣𝑓𝑣𝑓𝑘^𝑓+𝐺^𝑚𝑘^𝑚+𝑘^𝑓−𝑘^𝑚𝐺^𝑚𝑣𝑓
In-plane shear modulus	𝐺12=𝐺13=𝐺^𝑚𝐺^𝑓+𝐺^𝑚+𝐺^𝑓−𝐺^𝑚𝑣𝑓𝐺^𝑓+𝐺^𝑚−𝐺^𝑓−𝐺^𝑚𝑣𝑓
Out-of-plane shear modulus	𝐺23=𝐺^𝑚𝑘^𝑚𝐺^𝑚+𝐺^𝑓+2𝐺^𝑓𝐺^𝑚+𝑘^𝑚𝐺^𝑓−𝐺^𝑚𝑣𝑓𝑘^𝑚𝐺^𝑚+𝐺^𝑓+2𝐺^𝑓𝐺^𝑚−𝑘^𝑚+2𝐺^𝑚𝐺^𝑓−𝐺^𝑚𝑣𝑓
Effective plane-strain Bulk modulus	𝑘𝑇=𝑘^𝑓+𝐺^𝑚𝑘^𝑚+𝑘^𝑓−𝑘^𝑚𝐺^𝑚𝑣𝑓𝑘^𝑓+𝐺^𝑚−𝑘^𝑓−𝑘^𝑚𝑣𝑓
Transverse Young’s moduli	𝐸2=𝐸3=11/4𝑘𝑇+1/4𝐺23+𝜈^212/𝐸1
Transverse Poisson’s ratio	𝜈23=2𝐸1𝑘𝑇−𝐸1𝐸2−4𝜈^223𝑘𝑇𝐸22𝐸1𝑘𝑇