A finite element with a traction-free circular side is derived based on the Hellinger-Reissner principle. The assumed stress field of the special element exactly satisfies the equilibrium equations and the compatibility equations in the element as well as the traction-free conditions over the circular boundary.
A 12 node Special solid elements with a traction free cylindrical surface is derived using the assumed stress hybrid model. The a ssumed stress field satisfies the equilibrium equations in the element and the t raction free boundary condition over the cylindrical boundary.
Based on the updated Lagrangian description, the incremental equilibrium equations of triangular plate shell elements for geometrically nonlinear problem are derived.
Based on the Clausius-Clapeyron equation, the Virial equation and the newest phase equilibrium equations of helium-3,two important properties on the phase equilibrium curves,that is,the vaporization heat and the melting heat have been calculated.
1. The equilibrium equations of MR damper based on Navier-Stokes equations and Bingham plastic characteristics are set up after the properties of MR fluids are analyzed. The rheological behavior of MR fluids is analyzed by axial symmetric and parallel plate flow models.
Through this numerical procedure,the governing equilibrium equations and boundary constraint equations are transformed into sets of homogeneous algebraic equations in terms of the displacements of each discrete point.
Based on the Debye state equation and the phase equilibrium equations of helium-3,a computer program for calculating the thermodynamic properties of helium-3 has been developed.
This method uses the free torsional theory and the principle of virtual work to build governing equilibrium equations involving unknown shear flows and twisting rate.
There have been obtained system of equilibrium equations and recurrence relations for its coefficients which enable us to formulate the algorithm to build the system.
The level populations were determined by numerically solving the equation of recombination kinetics together with the statistical equilibrium equations for a 60-level model hydrogen atom.
The series expressions of stresses and displacements of both anisotropic and unidirectional fiber-reinforced composite plates with cracks are derived. Each term of the series can satisfy the equilibrium equations, the equation of compatibility and boundary conditions of forces on the crack suifaces and other boundary conditions of forces can be satisfied by the variational method to determine the stress intensity factors. Finally, the computational results about strip tension , compact tension a...
Transverse shear effects are important for the bending and vibration of laminated plates. When a laminate is in bending, it is assumed in this paper that the transverse displacement is constant through the plate thickness, and the in-plane displacements vary linearly through each layer, i.e., they are piecewise linear through the plate thickness. The latter means that the transverse shear strains within each layer area assumed to be different each other. There are two methods to relate the transverse shear ...
The finite element analysis is a powerful tool for the elastic-plastic struetures. But the change of the elements of global stiffness matrix requires the repeat computations in the solution of equilibrium equations for the elastic-plastic finite element analysis of structures during each increase of loading. This requires also a lot of computing efforts and expensive costs. Some techniques, such as substruct-uring method and method of updating matrix were proposed by s^nie investigators in order...
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equilibrium equations
平衡方程
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