Abstract:
Two systems of non-homogeneous linear equations in 8 unknowns were obtained by introducing two stress functions containing 16 undetermined coefficients and two real stress singularity exponents with the help of boundary conditions.By solving the above systems of non-homogeneous linear equations,the two real stress singularity exponents can be determined when the double material engineering parameters meet certain conditions.The expression of the stress function and all the coefficients were got by the unique theorem of limit.By substituting them into corresponding mechanics equations,theoretical solutions to the stress intensity factor,the stress field and the displacement field near the crack tip of each material can be obtained when the discriminants of the characteristic equations are less than zero'stress and displacement near crack tip show mixed crack characteristics but no stress oscillation or crack surfaces overlap.As an example,when the two orthotropic materials are the same,the stress singularity exponent,the stress intensity factor,the stress field and the expression for the displacement field of the orthotropic single material can be deduced.
