Micropolar elasticity belongs to the class of so-called multi-fields problems. The numerical solution of the associated field equations by the pure boundary element method (BEM) is available only for some 2D geometries. A judicious combination of the local point interpolation method with the pure BEM leads to a pure BEM solution procedure of 3D problems. The effectiveness of the approach is demonstrated on some examples including indentation. A first analysis of the impact of the microstructure on the macroscopic response is presented.

中文翻译：

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3D微极弹性的仅边界元求解方法

微极弹性属于所谓的多场问题。通过纯边界元方法（BEM）关联的场方程的数值解仅适用于某些2D几何形状。局部插值方法与纯BEM的明智组合会导致3D问题的纯BEM解决过程。在包括缩进在内的一些示例中证明了该方法的有效性。首先分析了微观结构对宏观响应的影响。