Accurate and straightforward symplectic approach for fracture analysis of fractional viscoelastic media

The symplectic solution system of decagonal quasicrystal elastic mechanics is considered. Hamiltonian dual equations together with the boundary conditions are investigated by utilizing the principle of minimum potential energy. Then the symplectic eigenvectors are given on the basis of the variable separation method. As application, analytical solution for decagonal quasicrystal cantilever beam with concentrated load is discussed. The analytical expressions of the stresses and displacements of the phonon field and phason field are obtained. The present method allows for the exploration of new analytic solutions of quasicrystal elasticity that are difficult to obtain by other analytic methods

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Accurate and straightforward symplectic approach for fracture analysis of fractional viscoelastic media

Cited by 4 publications

References 39 publications

New benchmark free vibration solutions of passive constrained layer damping beams by the symplectic method

New benchmark free vibration solutions of passive constrained layer damping beams by the symplectic method

Symplectic solutions for orthotropic micropolar plane stress problem

An Analysis Method of Symplectic Dual System for Decagonal Quasicrystal Plane Elasticity and Application

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