In this paper a nonlinear diffraction theory due to Stoke's 2nd-order wave for computing the wave force on the large body is presented. The radiation condition as r-∞ for 2nd-order scattered potential has been st...In this paper a nonlinear diffraction theory due to Stoke's 2nd-order wave for computing the wave force on the large body is presented. The radiation condition as r-∞ for 2nd-order scattered potential has been studied in connection with asymptotic solutions. A numerical procedure has been developed for the purpose of calculating the nonlinear wave force on the large body with arbitrary shape.展开更多
Based on the nonlinear geometry field theory of continuum mechanics. this paper analyses the stress field due to a serew dislocation in an infinite an infinite medium . The results reveal the high-order effect of the ...Based on the nonlinear geometry field theory of continuum mechanics. this paper analyses the stress field due to a serew dislocation in an infinite an infinite medium . The results reveal the high-order effect of the stress field. When this effect is small. the result can be reduced to one of the classical linear elasticity. The body couple field of the serew dislocation is also investigated in this paper. The analytiecal expression of the body couple due to a serew dislocation is obtained with small rotation deformation. As the application of theoretical results. the stress and the body couple at the interface of the crystals are calculated when the serew dislocation is near the interface .展开更多
In this paper, we first develop the far field asymptotic solutions of the second-order scattering waves for the vertical plane problem taking the second-order Stokes waves as the incident waves. The asymptotic solutio...In this paper, we first develop the far field asymptotic solutions of the second-order scattering waves for the vertical plane problem taking the second-order Stokes waves as the incident waves. The asymptotic solutions satisfy the Laplace equation, the sea bed and free surface boundary conditions and are the out-going waves. Then the radiation conditions of the second-order mattering waves are derived by using the asymptotic solutions. By using the two-dimensinal finite clement method with the radiation conditions imposed on the ar- tificial boundaries, the computer program, known as 'NWF2', for determining nonlinear wave forces on large submerged bodies has been written. As a numerical example, nonlinear wave forces on a semi-circu- lar cylinder lying on the sea bed arc presented.展开更多
文摘In this paper a nonlinear diffraction theory due to Stoke's 2nd-order wave for computing the wave force on the large body is presented. The radiation condition as r-∞ for 2nd-order scattered potential has been studied in connection with asymptotic solutions. A numerical procedure has been developed for the purpose of calculating the nonlinear wave force on the large body with arbitrary shape.
文摘Based on the nonlinear geometry field theory of continuum mechanics. this paper analyses the stress field due to a serew dislocation in an infinite an infinite medium . The results reveal the high-order effect of the stress field. When this effect is small. the result can be reduced to one of the classical linear elasticity. The body couple field of the serew dislocation is also investigated in this paper. The analytiecal expression of the body couple due to a serew dislocation is obtained with small rotation deformation. As the application of theoretical results. the stress and the body couple at the interface of the crystals are calculated when the serew dislocation is near the interface .
文摘In this paper, we first develop the far field asymptotic solutions of the second-order scattering waves for the vertical plane problem taking the second-order Stokes waves as the incident waves. The asymptotic solutions satisfy the Laplace equation, the sea bed and free surface boundary conditions and are the out-going waves. Then the radiation conditions of the second-order mattering waves are derived by using the asymptotic solutions. By using the two-dimensinal finite clement method with the radiation conditions imposed on the ar- tificial boundaries, the computer program, known as 'NWF2', for determining nonlinear wave forces on large submerged bodies has been written. As a numerical example, nonlinear wave forces on a semi-circu- lar cylinder lying on the sea bed arc presented.