带屈服平台线性强化材料的弹塑性梁的变形分析

Deformation Analysis on Linearly Intensified and Elastic-plastic Beam with Yield Platform

探讨了梁在带屈服平台线性强化弹塑性模式描述的弹塑性问题。着重分析了带平台的线性强化材料的梁的塑性区域边界曲线方程。据此,又讨论了梁的应力应变关系的表达方法,分析了梁在卸载后的残余应力和残余应变。在此基础上,还讨论了梁的挠曲度计算问题。最后对一个实例进行了计算。研究表明,利用该方法对中强钢进行计算更接近于实际情况。虽然该研究是对带屈服平台的线性强化模式而言,但却带有一定的普遍性,只要对某些参数赋予一定的值,很容易就能描述理想和线性强化模式下的梁。

The beam made up of elastic-plastic materials is discussed,which is intensified with a yield platform.The equations of boundary curve for the plastic area for the linearly intensified beam with a platform are analyzed emphatically.On the basis stated above,the expressional methods for the stressstrain correlation are discussed.The residual stress and strain after unloading of the beam are analyzed.Based on the analysis,the problem of beam defection is discussed and eventually an example is calculated.The study shows that calculation for mid-intensity steel made by the method is more approached to the actual situation,though the study is conducted on linearly intensified mode with yield platform,it is universal.If the values are obtained for some of the parameters,it is easy to describe the beams under ideal and linearly intensified mode.