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Singular Stress Behavior in a Bonded Hereditarily‐Elastic Aging Wedge. Part II: General Heredity
Author(s) -
Mikhailov S. E.
Publication year - 1997
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19970110)20:1<31::aid-mma845>3.0.co;2-#
Subject(s) - mathematics , wedge (geometry) , heredity , pure mathematics , mathematical analysis , geometry , genetics , biology
Investigation of stress singularity in a plane problem for bonded isotropic hereditarily elastic (visco-elastic) aging infinite wedge begun in [8] is continued here. The stress asymptotics at the singular point are obtained at initial time t"#0; at tPR for loads tending to harmonically oscillating or to constant ones in time. At small times, the power expansion with respect to time and the power-logarithmic asymptotic with respect to radius is presented. At finite times t3[0,R) as well as at tPR, the estimates for stresses at the singular point are obtained for sufficiently arbitrary loading behaviour. We shall use in this paper the notions and notations of [8]. References on the numbers of formulas and sections of [8] will be preceded by the symbol I, reference on Appendix denotes the Appendix of [8].