A decomposition of Laplace stretch with applications in inelasticity Academic Article

© 2019, Springer-Verlag GmbH Austria, part of Springer Nature. The kinematics of an inelastic solid established in terms of Laplace stretch and its rate are decomposed into one stretch that describes an elastic response, another stretch that describes an inelastic response, and their rates. These kinematics are a direct consequence of Laplace stretch belonging to the group of all real, 3 × 3 , upper-triangular matrices with positive diagonal elements. The Laplace stretch follows from a Gram–Schmidt decomposition of the deformation gradient.

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