运用块体单元法的叠层梁应力分析及破坏模拟  

Analysis of Stress and Deformation of Layered Beam Based on Block Element Method

作　　者：陆晓敏[1] 袁涛[1] 

机构地区：[1]河海大学工程力学系,南京210098

出　　处：《重庆理工大学学报（自然科学）》2015年第11期51-59,共9页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金重点资助项目(11132003)

摘　　要：应用平面块体单元法建立由刚体位移、常应变、曲率组成的变形模式,推导了系统的平衡方程,开发了相应的数值模拟程序,计算了简支梁在均布荷载作用下的位移和应力。结果表明:在较少单元情况下位移和应力非常接近于理论解;相对于有限单元法,块体单元法的位移精度更高,一般是理论值的上限;此外,接触面中的应力精度很高,确保了模拟接触面破坏的可靠性。为模拟叠层结构变形的非线性,在块体之间的接触面内引入材料的非线性,分别考虑剪切屈服和开裂2种破坏形式。屈服判据采用M-C准则,开裂采用最大拉应力强度准则,并编制了计算机程序。最后,计算模拟了一叠层式、受均布荷载悬臂梁的应力、变形及层间剪切的破坏。结果表明:此方法能较好地模拟结构的不连续变形及破坏。Based on block element method,deformation mode included rigid displacement,constant strains and curvatures was constructed. The equilibrium equations were conducted by principle of minimum potential energy. The displacement and stress under blanced load of simple beam were calculated. The results of block element method show that stress and displacement are very close to theoretical values only with fewer elements,and the stresses in interface elements have more accuracy yet alway it will be the upper limit of theoretical value. Besides,the stress accuraly is very high,which can ensule the reliability in simulating the damage of the contact surface. To analyze nonlinear material mechanics,yielding and cracking in interface elements were simulated. Yielded criterion used M-C formulation principle and cracked condition used the principle that the max-tensile stress in interfaceelement exceeds maximum tensile strength. Using the computer program of upper method,the stress and deformation of a layered cantilever beam were studied under uniform pressure. The results are correct and show that the method of the paper is feasible.

关 键 词：叠层梁 块体单元法 数值模拟 

分 类 号：TB301[一般工业技术—材料科学与工程]