An approximate analytical solution to a nonlinear problem of steady state creep of a holed plane medium under uniaxial tension by the quasilinearization method

• Main Authors: Zhabbarov, Ramil M., Stepanova, Larisa V.
• Format: Conference Proceeding
• Language: English
• Subjects: Approximation; Exact solutions; Finite element method; Steady state creep
• ISSN: 0094-243X; 1551-7616
• DOI: 10.1063/5.0134860

The approximate analytical solution to the problem of steady state creep of a holed plane medium under uniaxial tension during creep regime is obtained by the quasilinearization method. Three approximations of the solution to the nonlinear steady state creep problem are derived. It is demonstrated that when the number of approximations increases the solution converges to the limiting numeric solution found by the finite element method. It is worth noting that the circumferential stress does not achieve its maximum value at the circular hole edge. The locus of the maximum value of the circumferential stress departs from the hole edge as the creep exponent increases. It is shown that quasilinearization method is the efficient approach for solving nonlinear problems.