Walter Tape
YOU?
Author Swipe
View article: A Reformulation of the Browaeys and Chevrot Decomposition of Elastic Maps
A Reformulation of the Browaeys and Chevrot Decomposition of Elastic Maps Open
An elastic map $\mathbf{T}$ associates stress with strain in some material. A symmetry of $\mathbf{T}$ is a rotation of the material that leaves $\mathbf{T}$ unchanged, and the symmetry group of $\mathbf{T}$ consists of all such ro…
View article: Two Complementary Methods of Inferring Elastic Symmetry
Two Complementary Methods of Inferring Elastic Symmetry Open
An elastic map $\mathbf {T}$ describes the strain-stress relation at a particular point $\mathbf {p}$ in some material. A symmetry of $\mathbf {T}$ is a rotation of the material, about $\mathbf {p}$ , that does not change $\mathbf …
View article: Elastic symmetry with beachball pictures
Elastic symmetry with beachball pictures Open
SUMMARY The elastic map, or generalized Hooke’s Law, associates stress with strain in an elastic material. A symmetry of the elastic map is a reorientation of the material that does not change the map. We treat the topic of elastic symmetr…
View article: The eigenvalue lune as a window on moment tensors
The eigenvalue lune as a window on moment tensors Open
A moment tensor is a symmetric matrix that expresses the source for a seismic event. The fundamental lune is a certain subset of the unit sphere whose points represent the source types for all moment tensors. Familiar source types such as …
View article: Volume in moment tensor space in terms of distance
Volume in moment tensor space in terms of distance Open
Suppose that we want to assess the extent to which some large collection of moment tensors is concentrated near a fixed moment tensor m. We are naturally led to consider the distribution of the distances of the moment tensors from m. This …