shear deformationshear flow/ simple shear decompositiondeformation gradientm-dimensional homogeneous deformationuniform dilatationrotationm-1 simple shearsEvery m -dimensional ( m ≥2) homogeneous deformation is shown to consist in a succession of a uniform dilatation, a rotation, and m 1 simple shears....
The commonest mode of deformation for liquid or deformable solid materials is shear deformation. This is achieved by confining the material between the walls of the measuring instrument and by setting up a velocity gradient across the thickness of the material, i.e. causing it to flow. This ma...
A simple shear deformation is always accompanied by a rigid-body rotation, because the displacement gradient tensor is not symmetrical. Since plastic deformation in metallic materials proceeds by simple shear mechanisms (dislocation glide, mechanical twinning), the grains in a polycrystal change their cr...
plate boundary (dashed line), two largest earthquake faults (grey lines), and deflation source (white circle).b, The derivative of east displacement in the northerly direction (simple shear) from the model of the full period of the dyke intrusion. This shear occurs ...
as the length-scale of the deformation induced by the simple shear scales with the down-dip length of the subduction zone interface (e.g. see ref.51), which is of the order 100–200 km. As such, the simple shear at the subduction boundaries is not significant for the large-scale (...
Deformation Gradient
This paper examines a condition for the existence and uniqueness of a finite deformation field whenever a Gram–Schmidt (QR) factorization of the deformation gradient $${\\mathbf {F}}$$ is used. First, a compatibility condition is derived, provided that a right Cauchy–Green tensor $${\\...
Fault surface traces follow the apparent decorrelated surface rupture identified in the InSAR phase-gradient maps for the 2019 Ridgecrest event (Xu, Sandwell, Smith-Konter, 2020; Xu, Sandwell, Ward, et al., 2020). Fault geometries for the 2016 Kumamoto and 2011 Tohoku events are based on ...
So, let us consider non-homogeneous motions with a non-singular deformation gradient of the form (6.14)F(X,t)=Q(X,t)P(X,t), where Q(X,t) is orthogonal, Q(X, 0) = 1, and P(X,t) = 1 + tM(X), and M(X) is a non-zero tensor. Then, suppressing the dependence on X...
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