Direct Localized Boundary-Domain Integro-Differential Formulations for Physically Nonlinear Elasticity of Inhomogeneous Body

@inproceedings{Mikhailov2009DirectLB,
  title={Direct Localized Boundary-Domain Integro-Differential Formulations for Physically Nonlinear Elasticity of Inhomogeneous Body},
  author={Sergey E. Mikhailov},
  year={2009}
}
A static mixed boundary value problem of physically nonlinear elasticity for a continuously inhomogeneous body is considered. Using the two-operator Green-Betti formula and the fundamental solution of an auxiliary linear operator, a non-standard boundary-domain integro-differential formulation of the problem is presented, with respect to the displacements and their gradients. Using a cut-off function approach, the corresponding localized parametrix is constructed to reduce the nonlinear… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 25 references

Localized direct boundary-domain integro-differential formulations for some nonlinear problems with variable coefficients

  • SE Mikhailov
  • J Engng Math 2005;51:283-302
  • 2005
Highly Influential
4 Excerpts

Localized boundary-domain integral formulations for problems with variable coefficients

  • SE Mikhailov
  • Engng Anal Bound Elem 2002;26:681–690
  • 2002
Highly Influential
5 Excerpts

Local integro-differential equations with domain elements for the numerical solution of partial differential equations with variable coefficients

  • J Sladek, V Sladek, Ch. Zhang
  • J Engng Math 2005;51:261282
  • 2005
1 Excerpt

A local BIEM for analysis of transient heat conduction with nonlinear source terms in FGMs

  • J Sladek, V Sladek, Ch. Zhang
  • Engng Anal Bound Elem 2004;28:1-11
  • 2004

About localized boundary-domain integro-differential formulations for a quasilinear problem with variable coefficients

  • SE Mikhailov
  • Integral Methods in Science and Engineering…
  • 2004
1 Excerpt

Localized boundary-domain integro-differential formulation for physically nonlinear elasticity of inhomogeneous body

  • SE Mikhailov
  • Leitao VMA, Aliabadi MH, editors Advances in…
  • 2004
1 Excerpt

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