Plane strain finite element analyses are used to model the experiments of Mu et al. (2014, 2016) for a thin metal layer confined between elastic solids. The thin metal layer undergoes elastic-plastic deformations, here modelled by strain gradient plasticity, while the rest of the solid deforms only elastically. Plane strain is assumed and finite strains are accounted for. The microscopic boundary condition at the band interface is initially taken to be zero plastic strain increment, but plastic straining at the interface is allowed when the plastic strain gradient at the interface has exceeded a critical value. When the narrow metal band is inclined ${45}^{\circ }$ relative to the direction of compression of the solid simple shear develops in the band and predictions are rather similar to those of a one-dimensional analysis for an infinite band. For a band at ${90}^{\circ }$ the elastic parts give significant constraint on plastic flow, the stress fields are non-uniform along the band and the average nominal compressive stress shows strong sensitivity to the layer thickness and to the width of the specimen. Remarkably good qualitative, and in some cases quantitative, agreement is found with the experimental observations of Mu et al. (2014, 2016). Considering also other band angles, both the average nominal shear and compressive stress show variations with the angle.

平面应变有限元分析被用来模拟Mu等人的实验。（2014年，2016年）用于限制在弹性固体之间的薄金属层。薄金属层经历弹塑性变形，在此以应变梯度可塑性为模型，而其余的实体仅发生弹性变形。假定平面应变并考虑了有限应变。带界面处的微观边界条件最初被认为是零塑性应变增量，但是当界面处的塑性应变梯度超过临界值时，界面处的塑性应变是允许的。当窄金属带倾斜时${45}^{\circ }$相对于固体的压缩方向，简单的剪切在带中发展，并且预测与无限带的一维分析的预测相当相似。对于一个乐队${90}^{\circ }$弹性部件显着限制了塑性流动，应力带沿带不均匀，平均标称压缩应力对层厚和样品宽度表现出强烈的敏感性。与Mu等人的实验观察结果发现，定性非常好，在某些情况下还很定量。（2014年，2016年）。还考虑其他带角，平均标称剪切应力和压应力均显示随角度的变化。