Granular-microstructured rods show strong dependence of grain-scale interactions in their mechanical behavior, and therefore, their proper description requires theories beyond the classical theory of continuum mechanics. Recently, the authors have derived a micromorphic continuum theory of degree n based upon the granular micromechanics approach (GMA). Here, the GMA is further specialized for a one-dimensional material with granular microstructure that can be described as a micromorphic medium of degree 1. To this end, the constitutive relationships, governing equations of motion and variationally consistent boundary conditions are derived. Furthermore, the static and dynamic length scales are linked to the second-gradient stiffness and micro-scale mass density distribution, respectively. The behavior of a one-dimensional granular structure for different boundary conditions is studied in both static and dynamic problems. The effects of material constants and the size effects on the response of the material are also investigated through parametric studies. In the static problem, the size-dependency of the system is observed in the width of the emergent boundary layers for certain imposed boundary conditions. In the dynamic problem, microstructural effects are always present and are manifested as deviations in the natural frequencies of the system from their classical counterparts.

颗粒微结构棒在其机械行为中显示出与晶粒间相互作用的强烈依赖性，因此，对它们的正确描述需要的理论超出了连续介质力学的经典理论。最近，作者推导了n级的微晶连续体理论。基于颗粒微力学方法（GMA）。在这里，GMA进一步专门用于具有一维微观结构的一维材料，该材料可以描述为1级微形态介质。为此，得出了本构关系，运动控制方程和变化一致的边界条件。此外，静态和动态长度尺度分别与第二梯度刚度和微观尺度质量密度分布相关。研究了静态和动态问题中一维颗粒结构在不同边界条件下的行为。还通过参数研究研究了材料常数和尺寸对材料响应的影响。在静态问题中 对于某些强加的边界条件，在出现的边界层的宽度中观察到系统的尺寸依赖性。在动态问题中，微结构效应始终存在，并表现为系统自然频率与经典频率的偏差。