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Keywords
(10)
Analytic Solution
Analytical Method
Contact Problem
Continued Fraction
Elastic Constant
Integral Operator
Linear Viscoelasticity
Numerical Method
Rational Approximation
Stress Concentration
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A SEMIANALYTICAL METHOD FOR SOLUTION OF THE LINEAR VISCOELASTICITY PROBLEMS
A SEMIANALYTICAL METHOD FOR SOLUTION OF THE LINEAR VISCOELASTICITY PROBLEMS,Yuri CHORNOIVAN
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A SEMIANALYTICAL METHOD FOR SOLUTION OF THE LINEAR VISCOELASTICITY PROBLEMS
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Yuri CHORNOIVAN
Developing the ideas of work (1) �k onsidered is the problem of stressstrain state determination for linearly viscoelastic anisotropic body in case when the solution of the corresponding elastic problem can be found numerically. It is proposed to find viscoelastic solution using
continued fraction
approximation of the stress or strain at hand as a function of elastic constants. This approximation can be obtained numerically by any efficient
numerical method
(e.g. BEM). If only the Volterra principle is valid the solution can be found using resolvent operators' algebra. The possible error minimization is made via method of
rational approximation
by Stoer. An algorithm of the solution as well as estimation of the possible error is presented. The advantages of the proposed technique applied to contact and fracture problems of
linear viscoelasticity
are discussed. As an example the solution of the
stress concentration
determination problem for orthotropic viscoelastic plane with rigid circular inclusion is given as well as the comparison with the earlier results obtained from the analytical solution.
Published in 2007.
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www.endil.yildiz.edu.tr
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References
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(
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Josef Stoer
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A combined approach of the Laplace transform and Padé approximation solving viscoelasticity problems
(
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Mikhail F. Selivanov
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International Journal of Solids and Structures  INT J SOLIDS STRUCT
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(
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