We propose a new unfitted/immersed computational framework for nonlinear solid mechanics, which bypasses the complexities associated with the generation of CAD representations and subsequent body-fitted meshing. This approach allows to speed up the cycle of design and analysis in complex geometry and requires relatively simple computer graphics representations of the surface geometries to be simulated, such as the Standard Tessellation Language (STL format). Complex data structures and integration on cut elements are avoided by means of an approximate boundary representation and a modification (shifting) of the boundary conditions to maintain optimal accuracy. An extensive set of computational experiments in two and three dimensions is included.

中文翻译：

---

使用位移边界法的非线性弹性

我们提出了一种新的非线性固体力学未拟合/浸入式计算框架，它绕过了与生成 CAD 表示和随后的体拟合网格相关的复杂性。这种方法可以加快复杂几何形状的设计和分析周期，并且需要要模拟的表面几何形状的相对简单的计算机图形表示，例如标准曲面细分语言（STL 格式）。通过近似边界表示和边界条件的修改（移动）来保持最佳精度，可以避免复杂的数据结构和切割元素的集成。包括一组广泛的二维和三维计算实验。