【摘要】 近场动力学PD(Peridynamics)是一种新兴的基于非局部模型描述材料特性的数值计算方法。该方法假定位于连续体内的粒子通过有限的距离与其他粒子相互作用,通过积分计算在一定近场范围(Horizon)内具有一定影响域的材料点之间的相互作用力,而不论位移场的连续与否,避免了传统的局部微分方程求解在面临不连续问题时的奇异性和现有多尺度算法的复杂性。本文概述了PD方法的基本思想、建模方法和计算体系,给出了用近场动力学方法模拟混凝土在轴向拉伸荷载作用下的计算格式。算例结果表明,PD方法可以很好地刻画和模拟混凝土在轴拉情形下的损伤累积与渐进破坏过程.最后讨论了PD方法在理论、计算和应用等方面有待进一步研究的问题.更多还原

【Abstract】 Peridynamics(PD) is a continuum theory that employs a non-local model to describe material properties.The theory assumes that particles in a continuum interact with each other across a finite distance,formulates problems in terms of integral equations rather than partial differential equations.In this paper,we provide the fundamentals and numerical system of PD and its modeling method.We also introduce the numerical method of concrete under uni-axial load.The result of the example clarifies the unique advantage of modeling damage accumulation and progressive failure of concrete based on Peridynamics theory.Finally,some open problems and future research trends in PD are discussed.更多还原