Time-discrete integration of finite deformation
Abstract eng: Some necessary implications for the time-discrete integration of finite deformations will be discussed together with particular schemes, when the geometrical structure of the space of Cauchy-Green deformation tensors, implicitly contained in the principle of virtual power, is taken into account. All these time-discrete schemes reflect this geometrical structure in that the actual integration of corresponding evolution equation of deformation process takes place in the subset of positive-definite symmetric matrices (with non-euclidean geometry) by definition, instead of in the linear space of symmetric matrices (with euclidean geometry) as usual.
Publisher:
Institute of Theoretical and Applied Mechanics, AS CR, Prague
Conference Title:
Conference Title:
Engineering Mechanics 2012
Conference Venue:
Svratka (CZ)
Conference Dates:
12/05/2014 - 15/05/2014
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.
Record appears in:
Record created 2014-12-04, last modified 2014-12-04