摘要: 利用主应力张量,及剪切张量分解推导应力摩尔圆 阅读全文
posted @ 2025-01-05 09:38 GeoFXR 阅读(136) 评论(0) 推荐(0)
摘要: 应力张量极值点分析,利用应力柯西定理及主应力分析,计算正应力与剪切应力极值方向及大小的分析 阅读全文
posted @ 2025-01-04 01:35 GeoFXR 阅读(69) 评论(0) 推荐(0)
摘要: 本笔记介绍应力张量的特征值分解,各向同性及偏分量分解及任意平面法应力及剪切应力分解 阅读全文
posted @ 2025-01-03 16:44 GeoFXR 阅读(148) 评论(0) 推荐(0)
摘要: 介绍应力张量的对称性推导即柯西应力公式 阅读全文
posted @ 2025-01-02 12:21 GeoFXR 阅读(133) 评论(0) 推荐(0)
摘要: 空间曲线的线性参数插值 ​ 在断层曲面拟合的过程中,发现当解释的空间数据点过于稀疏的化,其断层面拟合的效果较差,我们采用空间曲线线性插值加密的算法,增加插值控制点的数量,改善插值的效果。 1.1 问题描述即算法描述 已知空间三维离散折线 \(l=(p_1,p_2,...,p_i,...,p_n)\) 阅读全文
posted @ 2024-12-29 15:19 GeoFXR 阅读(162) 评论(0) 推荐(0)
摘要: 2.5 Proof that strain tensor is a tensor To prove that \(\varepsilon_{ij}\) is a tensor it is necessary to show that under a rotation of axis the comp 阅读全文
posted @ 2024-12-25 23:47 GeoFXR 阅读(89) 评论(0) 推荐(0)
摘要: 3. The Stress Tensor The development of the theory of elasticity took about two centuries, beginning with Galileo in the 1600s. The most difficult pro 阅读全文
posted @ 2024-12-25 16:12 GeoFXR 阅读(179) 评论(0) 推荐(0)
摘要: Introduction of Deformation, Strain and Rotation Tensors Elasticity theory, which lies at the core of seismology, is most generally studies as a branc 阅读全文
posted @ 2024-12-17 15:47 GeoFXR 阅读(273) 评论(0) 推荐(0)
摘要: Introduction of Rotation Transformation And Rotation Matrix 1.1 Summary of vector analysis A vector is defined as a directed line segment, having both 阅读全文
posted @ 2024-12-10 10:56 GeoFXR 阅读(218) 评论(0) 推荐(0)
摘要: Cartesian Tensors In subsequent chapters the following three tensors will be introduced. (1) The strain tensor \(\varepsilon_{ij}\) : \[\varepsilon_{i 阅读全文
posted @ 2024-12-09 02:08 GeoFXR 阅读(104) 评论(0) 推荐(0)