ISSN:
0363-9061
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Architecture, Civil Engineering, Surveying
,
Geosciences
Notes:
Material non-linearity in non-associated high friction materials exhibiting post-peak softening such as granular materials poses a great problem in solving the non-linear differential equations. In this regard, a dynamic relaxation (DR) family of solutions provides a very strong tool to solve. In this paper, the DR method is evaluated from the viewpoint of its ability to trace the whole equilibrium curve in the load-displacement (stress-strain) space. In the case of material non-linearity, usually there is a snap-through. This problem has been handled in three ways: (1) load control with a real time dynamic solution at post-peak, (2) direct displacement control and (3) arc-length control. These three methods of non-linear equilibrium path tracing are critically evaluated with respect to their speed of convergence, accuracy of the solution and states of unequilibrium. Finally, the results of multi-element FEM simulations of a bearing capacity test of a strip footing on sand carried out to validate the DR methods are presented.
Additional Material:
12 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/nag.1610191102
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