一般加速边位错的动态能量-动量张量和对数奇异性

IF 2.6 4区 工程技术 Q2 MECHANICS Journal of Applied Mechanics-Transactions of the Asme Pub Date : 2023-09-11 DOI:10.1115/1.4062629
Luqun Ni, Xanthippi Markenscoff
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引用次数: 0

摘要

基于一个守恒定律,计算了与任意移动边缘位错加速度相关的场量的近场对数奇点,该守恒定律涉及在由多尺度轮廓(内半径ϵ02和外半径ϵ0的环)包围的域上积分的动态能量-动量张量。对数奇点的存在性仅由应力场和速度场(即速度为加速运动中瞬时速度的稳态运动)的守恒定律和前1/r项得到。由运动方程和y≠0时位移二阶偏导数的对称性可知,近场展开的所有六个对数项都与极坐标系中的角度无关。计算了任意移动边缘位错(亚音速)中应变和速度的近场扩展的所有对数项。
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The Dynamic Energy-Momentum Tensor and the Logarithmic Singularity of a Generally Accelerating Edge Dislocation
Abstract The near-field logarithmic singularities in the field quantities associated with the acceleration of an arbitrarily moving edge dislocation are calculated based on a conservation law involving the dynamic energy-momentum tensor integrated over a domain enclosed by a multi-scale contour (an annulus of inner radius ϵ02 and outer radius ϵ0). The existence of the logarithmic singularities is obtained solely from the conservation law and the leading 1/r terms in the near fields of the stress and the velocity (which are those of the steady-state motion with velocity the instantaneous velocity in the accelerating motion). From the equations of motion and the symmetry in the second partial derivatives of the displacements for y≠0 we obtain that all six logarithmic terms of the near-field expansions are independent of the angle in the polar coordinates. All logarithmic terms in the near-field expansion of the strains and velocity in an arbitrarily moving edge dislocation (subsonically) are evaluated.
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来源期刊
CiteScore
4.80
自引率
3.80%
发文量
95
审稿时长
5.8 months
期刊介绍: All areas of theoretical and applied mechanics including, but not limited to: Aerodynamics; Aeroelasticity; Biomechanics; Boundary layers; Composite materials; Computational mechanics; Constitutive modeling of materials; Dynamics; Elasticity; Experimental mechanics; Flow and fracture; Heat transport in fluid flows; Hydraulics; Impact; Internal flow; Mechanical properties of materials; Mechanics of shocks; Micromechanics; Nanomechanics; Plasticity; Stress analysis; Structures; Thermodynamics of materials and in flowing fluids; Thermo-mechanics; Turbulence; Vibration; Wave propagation
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