及其在塑性加工中的應(yīng)用
(燕山大學(xué) 機械工程學(xué)院， 秦皇島 066004)
摘 要: 為降低金屬塑性成形模擬試驗的成本和難度，針對塑性加工中最常見的塑性硬化材料，給出了塑性成形模擬中原型與模型的定義，以及位移亞耦聯(lián)系統(tǒng)和載荷亞耦聯(lián)系統(tǒng)的定義，并建立了塑性硬化材料位移亞耦聯(lián)系統(tǒng)和載荷亞耦聯(lián)系統(tǒng)的變分原理，從而建立了有不同本構(gòu)方程的兩種材料的變形關(guān)系，克服了目前只有本構(gòu)方程相同的兩種材料才可以進行塑性變形模擬的理論限制。利用建立的變分原理，分析了鋁、鋼兩種材料鐓粗的變形關(guān)系。
關(guān)鍵字: 塑性硬化材料； 亞耦聯(lián)系統(tǒng)； 變分原理； 塑性加工
plastic hardening material
（College of Mechanical Engineering, Yanshan University，
Qinhuangdao 066004，P.R.China）
Abstract: To decrease the cost and difficulty of simulating in plastic deformation, in view of the most common plastic hardening materials, the model and the prototype in the simulating test of plastic deformation, the displacement sub-coupling system of the plastic hardening material as well as load sub-coupling system, were all defined. The principle of potential energy and surplus energy of this displacement as well as the load sub-coupling system were found, then the deformation relation between the materials which have different stress-strain relation was set, overcoming the theoretical limit that the simulating test can only be applied to two kinds of materials with the same stress-strain relation. By means of the principle of potential energy of load sub-coupling system, the compressing forming relation between the aluminum column and steel column are analyzed.
Key words: plastic hardening material; sub-coupling system; variational principle; plastic forming
