论文标题
通过相位方法识别线性弹性中的腔和夹杂物
Identification of cavities and inclusions in linear elasticity with a phase-field approach
论文作者
论文摘要
在本文中，我们处理了从边界位移的测量值中嵌入线性弹性各向同性培养基中的腔和夹杂物的形状重建的反问题。对于，我们考虑一个受约束的最小化问题，该问题涉及边界二次失误功能，并带有正则化项，该术语惩罚了腔体的周长或要识别的腔体。然后，我们使用相位场方法得出了一种鲁棒算法，以重建弹性夹杂物和以非常小的弹性张量为夹杂物的腔体的腔体。
In this paper, we deal with the inverse problem of the shape reconstruction of cavities and inclusions embedded in a linear elastic isotropic medium from boundary displacement's measurements. For, we consider a constrained minimization problem involving a boundary quadratic misfit functional with a regularization term that penalizes the perimeter of the cavity or inclusion to be identified. Then using a phase-field approach we derive a robust algorithm for the reconstruction of elastic inclusions and of cavities modeled as inclusions with a very small elasticity tensor.
