Three-dimensional fundamental solution of a penny-shaped crack in an infinite thermo-magneto-electro-elastic medium with transverse isotropy

摘要: Abstract This paper investigates the problem of an infinite multiferroic composite medium weakened by a penny-shaped crack, which is symmetrically subjected to four pairs generalized loads on upper and lower surfaces. These could be mechanical pressures, electric displacements, magnetic inductions temperature increments. In view magneto-electric properties crack surfaces, mixed boundary problems are formulated. Based general solution, three-dimensional thermo-magneto-electro-elastic coupling field variables in full space for various cases explicitly obtained means potential theory method. Some important physical quantities fracture mechanics, such as stress intensity factors surface presented well. Numerical calculations performed validate present solutions show distributions 3D coupled fields. The influences surfaces stresses revealed.