Title :
The state of stress in a vicinity of a point load on an interface of bi-material plate
Author :
Domanskaya, T.O. ; Malkov, V.M.
Author_Institution :
St.-Petersburg State Univ., St. Petersburg, Russia
Abstract :
The singular plane problems of nonlinear elasticity (plane strain and plane stress) are considered for bi-material infinite plate of a half-linear material. Using model of harmonic material has allowed to apply the theory of complex potentials and to obtain exact analytical global solutions of non-linear problems. Among them it is problem of bi-material plate with the stresses and strains jumps on the interface. As an application of the problem of jumps, the problem of concentrated force on an interface boundary of two half-planes and on a boundary of half-plane are solved. The asymptotic expansions of stresses and strains in a vicinity of the force application point are constructed.
Keywords :
elasticity; harmonic analysis; internal stresses; plates (structures); asymptotic expansions; bimaterial plate interface; exact analytical global solutions; half-linear material; harmonic material; interface boundary; nonlinear elasticity; nonlinear problems; plane strain; plane stress; point load; singular plane problems; stress state; Elasticity; Force; Harmonic analysis; Mathematical model; Strain; Tensile stress;
Conference_Titel :
Mechanics - Seventh Polyakhov's Reading, 2015 International Conference on
Conference_Location :
Saint Petersburg
DOI :
10.1109/POLYAKHOV.2015.7106724