Wedging an Orthotropic Body by a Rectangular Wedge of Finite Length

Galin's method is used to derive equations that relate the basic parameters of the problem on wedging an orthotropic space by a rigid rectangular wedge. To eliminate the stress singularity at the wedging crack tips, a Leonov–Panasyuk–Dugdale prefracture zone is assumed to exist at the crack front. The equations are derived using the COD criterion     

The stress state of a viscoelastic orthotropic half-plane loaded with a concentrated force

The operator continued-fraction method is used to solve the problem on the stress state of a viscoelastic orthotropic half-plane loaded at a momentt=0 with a force normal to the boundary of the half-plane. The stress field in the half-plane is determined based on the Volterra principle and the solution of the corresponding elastic problem. The influence of the rheological parameters on the stress state of the half-plane is shown by an example of a specific material. S.P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 36, No. 2, pp. 124–130, February, 2000.     

Wedging of a Viscoelastoplastic Orthotropic Composite

The behavior of a crack in a linearly viscoelastic orthotropic composite split by a rigid wedge with thickness increasing in time is analyzed. The constitutive equations are derived using the Dugdale crack model with time-independent stresses in the process zone and the COD criterion. The equations are used in numerical analysis of the behavior of a crack in a viscoelastic polyurethane-matrix material__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 4, pp. 12–19, April 2005.     

Splitting a Viscoelastic Orthotropic Body with a Rigid Wedge of Thickness Increasing with Time

A crack model with a constant-length prefracture zone and a critical opening criterion are used to solve the wedging problem for a linear elastic body split by a rigid wedge with thickness increasing with time. Governing equations describing the behavior of the crack during the incubation and transient stages are presented. An algorithm is proposed to solve numerically the governing equation of transient crack growth     

Wedging an Orthotropic Body

The problem of wedging an orthotropic body with a semi-infinite rigid wedge of constant thickness is solved in the context of the Leonov–Panasyuk model. The lengths of a free crack and prefracture zone are found from the material parameters     

A numerical analytic method for solving boundary-value problems of linear anisotropic viscoelasticity

The paper proposes an approach to solving boundary-value problems for linear viscoelastic orthotropic bodies based on the method of operator continued fractions and the boundary-element method. A problem-solving algorithm and a procedure to estimate the possible error are outlined. The solution for a viscoelastic orthotropic plate with a rigid circular inclusion under uniaxial tension is obtained as an example and compared with available ones