Use of a one-parameter family of Gordon–Schowalter objective derivatives to describe finite strains of viscoelastic bodies

Tensors in Newtonian Physics and the Foundations of Classical Continuum Mechanics

“…These new approaches are based on fundamental achievements of the science of mechanics and mathematics [52][53][54][55][56][57][58][59][60][61][62][63][64]. They were carried out by the author [65][66][67][68][69][70][71][72][73] and were realized by his colleagues in different branches: In elasto-plasticity at finite strains [74,75], in constructing models of Cosserat type [75][76][77][78][79], in poromechanics [79,80], in the theory of shape-memory materials [81], in the generalization of the theory of elastic-plastic processes to finite deformations [82], in numerical methods for elastic-plastic problems at finite strains [83], in analytical research in hypo-elasticity [84], and in constructing new models of visco-elasticity at finite strains by using new methods, including the application of different objective derivatives [85][86][87].…”