Method and system for direct strain imaging
First Claim
1. A computer-implemented method for determining strain characteristics in a vicinity of a point of interest w={xw, yw}T in two parametric dimensions embedded in a two or three dimensional space, wherein the point of interest w is part of a deformable domain or body having a plurality of features which may be represented as a node pattern of n nodes, the method comprising:
- receiving a first set of captured data of a plurality of features and representing the plurality of features by nodes indexed by i or j in the domain in an un-deformed configuration;
receiving a second set of captured data of the plurality of features represented by nodes i,j in the domain in a deformed configuration;
measuring engineering strains ei,j between a plurality of node combinations in the vicinity of w to produce ew={e21, e31, . . . e42 . . . , en(n-1)}T; and
applying an approximation or interpolation to the engineering strains ei,j to approximate strain ε
h in the vicinity of w.
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Accused Products
Abstract
A method and system for measuring and determining the full-field spatial distributions of strain tensor field components in a two or three-dimensional space, as a consequence of deformation under generalized loading conditions. One or more digital cameras may be used to acquire successive images of a deforming body with optically distinctive features on its surface. A method for determining the location of characteristic points of the surface features and another one for tracking these points as deformation occurs. Elongations between neighboring points on the vicinity of a location of interest are computed. The elongation between points is calculated even though discontinuities may exist between them. Strain tensor fields are directly calculated as a tensor approximation from these elongations without determining or using the displacement vector distributions.
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Citations
23 Claims
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1. A computer-implemented method for determining strain characteristics in a vicinity of a point of interest w={xw, yw}T in two parametric dimensions embedded in a two or three dimensional space, wherein the point of interest w is part of a deformable domain or body having a plurality of features which may be represented as a node pattern of n nodes, the method comprising:
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receiving a first set of captured data of a plurality of features and representing the plurality of features by nodes indexed by i or j in the domain in an un-deformed configuration; receiving a second set of captured data of the plurality of features represented by nodes i,j in the domain in a deformed configuration; measuring engineering strains ei,j between a plurality of node combinations in the vicinity of w to produce ew={e21, e31, . . . e42 . . . , en(n-1)}T; and applying an approximation or interpolation to the engineering strains ei,j to approximate strain ε
h in the vicinity of w. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 21, 23)
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11. A system for determining strain characteristics in a vicinity of a point of interest w={xw, yw}T in two parametric dimensions embedded in a two or three dimensional space for a deformable domain having a plurality of features which may be represented as a node pattern of n nodes, the system comprising:
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at least two imaging devices arranged facing the plurality of features at different angles to the surface of the deformable domain for acquiring a first image of the plurality of features in the domain in an un-deformed configuration and a second image of the plurality of features in the domain in a deformed configuration; and a computer processor having programmed instructions thereon for (a) representing the plurality of features by nodes i,j; (b) measuring engineering strains ei,j between a plurality of node combinations in the vicinity of w to produce ew={e21, e31, . . . e42 . . . , en(n-1)}T; and (c) applying an approximation or interpolation to the engineering strains ei,j to approximate strain ε
h in the vicinity of w. - View Dependent Claims (12, 13, 14, 15, 16, 17, 22)
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18. A computer-implemented method for measuring strain characteristics in a vicinity of a point of interest w={xw, yw}T in two parametric dimensions embedded in a two or three dimensional space for a deformable domain having a plurality of features which may be represented as a node pattern of n nodes, the method comprising:
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receiving separation-data for a plurality of nodes i,j in the domain in an un-deformed configuration; receiving separation data for the plurality of nodes i,j in the domain in a deformed configuration; measuring engineering strains ei,j between a number of node combinations in the vicinity of w to produce ew={e21, e31, . . . e42 . . . , en(n-1)}T; and approximating strain ε
h in the vicinity of w by - View Dependent Claims (19, 20)
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Specification