Abstract
SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.
Abstract
Considering the influence of random factors on the structure, three
stochastic finite element methods for general nonlinear problems are proposed. They
are Taylor expansion method, perturbation method and Neumann expansion method.
The mean value of displacement is obtained by the tangent stiffness method or the
initial stress method of nonlinear finite elements. Nonlinear stochastic finite element
is transformed into linear stochastic finite element. The mean values of displacement
and stress are obtained by the incremental tangent stiffness method and the initial
stress method of the finite element of elastic-plastic problems. The stochastic finite
element of elastic- plastic problems can be calculated by the linear stochastic finite
element method.
Keywords:
Nonlinear stochastic finite element method, Taylor expansion, Perturbation technology, Neumann expansion, Elastic-plastic problem.
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Authors:Bentham Science Books