In order to ensure the continuity of the first derivative of deflection of beam at the simple-supports and atthe location where the concentrated load applies, two generalized displacements w(x)and(x)are introduced. The differential equilibrium equations of Which are established and then whyed. The solution represents the modified formula forG(23)which is coincident with the experiments.
but when the Φ value is higher, as the Φ increases, τ * is hardly altered. In the process of squeeze cast particles reinforced metal matrix composites, the temperature equilibrium equations of infiltration zone were established and solved.
In this paper, it is pointed out that under both plane stress and plane strain deformation conditions, the constitutive and equilibrium equations in the plane of isotropy of a transversely isotropic body can be expressed in a form identical to that for an isotropic body.
Secondly, by means of 3 D stress equilibrium equations and Lagranges interpolation, the least square fit was employed to determine transverse shear stress.
Secondly, by mean of 3-D stress equilibrium equations and Lagrange's interpolation, the least-square fit was adopted to determine the transverse shear stress.
To analyze singular electromechanical fields at a corner of wedge/junction in a piezoelectric media under inplane loading, as the first part of this work, stress equilibrium equations, Maxwell equation and boundary conditions are first employed to derive a new weak form for solving eigenpair problems in piezoelectric materials;
By introducing stress equilibrium equations,boundary-and continuity-conditions,a theoretical model on the elastic stress transfer with friction at the debonded interface in fiber pull-out was established.
The method given a stress field that satisfies the zeroth or-der equilibrium equations and the stress boundary conditions as well as the stress continuity of interface.
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.
In Sm-Co system, there are two kinds of important intermetallic compounds:SmCo_5 and Sm_2Co_17. SmCo_5, being CaCu_5 crystal structure, belongs to hexagonal system. Sm_2Co_17 is crystallized in two modifications, a low-temperature phase of the rhombohedral Th_2Zn_(17-)type structure, named as ;θ-phase; a high-temperature phase of the hexgonal Th_2Ni_(17-)type structure, named, as θ'.There is close relationship between θ,θ'and hexgonal type SmCo_5 in crystal structure. As soon as one third of Sm atom is repl...
The geometrically nonlinear problem of laminated composite shells have received considerable attention in recent years. How-ever, in the classical geometrically nonlinear theories of shells, the equations of inplane equilibrium have not involved the effect of dofermation. So they are not suitable for the case of relatively large deformation, at least they are not accurate. In this paper, starting from the three dimensional theory of nonlinear elasticity and taking into account of the effect of ...
A simple and efficient method determining the interlaminar stresses in composite laminates was pre-sented from the boundary layer equations in this paper. The method given a stress field that satisfies the zeroth or-der equilibrium equations and the stress boundary conditions as well as the stress continuity of interface. Severallaminates are dealt with by the presented method.The results have indicated that the method is of great versatilityand has the ability to perform the analysis of t...
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equilibrium equations
平衡方程
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