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Numerical analysis of the process of trapezoidal thread rolling

机译：梯形线轧制过程的数值分析

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In this paper the physical and mathematical models of deformations (displacements and strains) and stress in the cold process of trapezoidal thread rolling is presented. The process is considered as a geometrical and physical non-linear, initial as well as boundary value problem. The phenomena on a typical incremental step were described using a step-by-step incremental procedure, with an updated Lagrangian formulation. The state of strains was described by Green-Lagrange's tensor, while the state of stress by the second symmetrical Pioli-Kirchhoff s tensor. The object was treated as an elastic (in the reversible zone) and visco-plastic body (in non-reversible zone) with mixed hardening. The variational equation of motion in three dimensions for this case was proposed. Then, the finite elements methods (FEM) and dynamic explicit method (DEM) were used to obtain the solution. The application developed for the method of finite elements ANSYS 8.1 provides a complex time analysis of displacement, strains and stresses occurring in the object. The boundary conditions for a displacement increment determined in model investigations were used. Examples of calculations of influence of a friction coefficient on the state's deformation and stress were presented.
机译：本文介绍了梯形螺纹轧制冷过程中变形（位移和菌株）的物理和数学模型和应力。该过程被认为是几何和物理非线性，初始和边值问题。使用逐步的增量过程描述典型增量步骤的现象，其中包括更新的拉格朗日配方。绿色拉格朗日的张量描述了菌株的状态，而第二对称Pioli-Kirchhoff S张量的应力状态。物体被视为具有混合硬化的弹性（在可逆区）和粘塑体（在不可逆区）。提出了这种情况下三维运动的变分方程。然后，使用有限元方法（FEM）和动态显式方法（DEM）来获得解决方案。为有限元件Ansys 8.1开发的应用提供了对象中发生的位移，菌株和应力的复杂时间分析。使用在模型研究中确定的位移增量的边界条件。介绍了摩擦系数对状态变形和应力的影响的计算的例子。

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