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中文摘要：
针对泡沫杆撞击刚性壁的情形建立了2类动态压溃模型：一维冲击波模型和三维细观有限元模型.以连续介质框架下的应力波理论为基础,并假定了刚性-非线性塑性硬化的加载和刚性卸载的本构关系,建立了一维冲击波模型,给出了冲击波波后应变与冲击时间的隐式表达式.利用随机Voronoi技术构建了闭孔泡沫金属结构的三维细观有限元模型,使用ABAQUS/Explicit有限元软件模拟了泡沫材料的动态压溃过程,并基于最小二乘法计算局部变形梯度和局部应变得到了三维泡沫结构的应变场.通过理论解和数值解的比较,发现该理论模型能够较好地预测泡沫金属杆撞击刚性壁的力学行为,得到了较为精确的结果.
英文摘要：
A one-dimensional shock model and a three-dimensional cell-based finite element model are developed for the dynamic crushing of a metallic foam rod striking a rigid wall.The shock model is proposed by using the continuum-based stress wave theory and assuming a rate-independent,rigidnonlinear hardening plastic constitutive relation of the foam,then an implicit expression for determining the relation between the local strain behind the shock front and the impact time is obtained.The cell-based finite element model of a closed-cell aluminum foam is constructed by the three-dimensional Voronoi technique,and its dynamic crushing process is simulated by using the ABAQUS/Explicit code.The least squares method is used to calculate the deformation gradient and local strain field.Comparing with the simulation results,the shock model presents good predictions of the stress and strain behind the shock front.
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