An extended approach is developed by blending isogeometric analysis and the first-order local maximum entropy for the standard and the enhanced fields, respectively. Isogeometric analysis facilitates the accurate parametrization of the geometry in general, particularly the exact geometric parametrization of the conic curves and quadratic surfaces using NURBS. On the other hand, the local maximum entropy leads to an improved estimate for the enhanced part due to its infinite continuity. Moreover, local maximum entropy paves the way to a nonelementwise crack propagation owing to its meshfree characteristic. To enforce compatibility, the shifting technique is amended for the meshfree enhanced part to localize the effect of the Heaviside function to a narrow region around the crack. Next, a blending technique is exploited to remove the effect of the discontinuity in front of the crack tip. The viability of the approach is illustrated at the hand of several examples comprising straight and curved crack propagation.

中文翻译：

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X-IGALME：使用局部最大熵扩展等几何分析以进行断裂分析

通过混合等几何分析和标准场和增强场的一阶局部最大熵，开发了一种扩展方法。等几何分析通常有助于几何的精确参数化，特别是使用 NURBS 的圆锥曲线和二次曲面的精确几何参数化。另一方面，由于其无限连续性，局部最大熵导致对增强部分的改进估计。此外，由于其无网格特性，局部最大熵为非单元裂纹扩展铺平了道路。为了增强兼容性，对无网格增强部分的移动技术进行了修改，以将 Heaviside 函数的影响定位到裂纹周围的狭窄区域。下一个，一种混合技术被用来消除裂纹尖端前不连续性的影响。该方法的可行性通过包括直线和曲线裂纹扩展的几个例子来说明。