Aim to establish the path independentintegral and its dual form of energy type, and to determine the singularity order of stresses near the crack tip in plane quasicrystals.
目的建立平面准晶中能量型路径守恒积分及其对偶形式,并确定准晶裂纹体裂尖应力奇异性阶数。
2
OK, so, we've seen that if we have a vector field defined in a simply connected region, and its curl is zero, then it's a gradient field, and the line integral is path independent.
一个向量场,如果定义在单连通区域并且旋度为零,那么它就是一个梯度场,并且其上的线积分与路径无关。
3
OK, so the proof, so just going to prove that the line integral is path independent; the others work the same way.