MATH920

Plastic deformation

Multiplicative decomposition of deformation gradient into elastic/plastic
$𝐅 = \frac{\partial 𝒙}{\partial 𝑿} = 𝐅^{e} 𝐅^{p}, 𝐅^{e} = \frac{\partial 𝒙}{\partial 𝒑}, 𝐅^{p} = \frac{\partial 𝒑}{\partial 𝑿}, d 𝒙 = 𝐅 d 𝑿$