A New Method of Fringe Pattern Analysis

Sciammarella, Cesar A.; Lamberti, Luciano

doi:10.1007/978-3-319-97481-1_2

Cited by 2 publications

(11 citation statements)

References 10 publications

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“…The considered issue in this section is the computation of local values of displacements and displacement derivatives in the presence of large deformations and large rotations. The conceptual basis and developments of the material included in this section and some of the following sections are presented in detail in [9][10][11][12][13][14].…”

Section: Local Kinematic Variablesmentioning

confidence: 99%

“…In Refs. [13,14], introducing OSA (Optical Signal Analysis), a new method for fringe pattern analysis, the concept of RVE is connected to the definition of the local kinematic variables by the selection of the scale L, the pitch of the tagged carrier p, and the carrier fringes generated by adding a carrier via frequency shifting or other approaches. Figure 2a is a 2D version of the more general 3D diagrams of [12] and represents a local region (RVE) of vertical displacements, which satisfies the condition illustrated in Figure 1.…”

Section: Local Kinematic Variablesmentioning

confidence: 99%

“…Since the angle θ u is almost equal to zero, the modulus of U is approximately equal to u x ≈ u, where u is the projection of the horizontal displacement along the x-axis; hence, the component u y can be neglected. For large deformations and large rotations, the following relationship was derived in [13,14]…”

Section: Local Kinematic Variablesmentioning

confidence: 99%

“…The recorded image is described by a 2D real scalar potential of gray levels F2R. Introducing carrier fringes and using Cartesian coordinates, the F2R potential can be expressed as the sum of two scalar components: For large deformations and large rotations, the following relationship was derived in [13,14]…”

Section: Vectorial Fields Of Recorded Gray Levelsmentioning

confidence: 99%

“…For this purpose, the moiré method [7,8], a typical tool used in experimental mechanics for measuring displacements, will be utilized. The aim is to apply tools available in novel developments introduced by the authors in different papers [9][10][11][12][13][14], putting together successive derivations in the field of the kinematics of the continuum. To help the readers, derivations extracted from the different publications will be provided.…”

Section: Introductionmentioning

confidence: 99%

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Verification of Continuum Mechanics Predictions with Experimental Mechanics

2019

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The general goal of the study is to connect theoretical predictions of continuum mechanics with actual experimental observations that support these predictions. The representative volume element (RVE) bridges the theoretical concept of continuum with the actual discontinuous structure of matter. This paper presents an experimental verification of the RVE concept. Foundations of continuum kinematics as well as mathematical functions relating displacement vectorial fields to the recording of these fields by a light sensor in the form of gray-level scalar fields are reviewed. The Eulerian derivative field tensors are related to the deformation of the continuum: the Euler-Almansi tensor is extracted, and its properties are discussed. The compatibility between the Euler-Almansi tensor and the Cauchy stress tensor is analyzed. In order to verify the concept of the RVE, a multiscale analysis of an Al-SiC composite material is carried out. Furthermore, it is proven that the Euler-Almansi strain tensor and the Cauchy stress tensor are conjugate in the Hill-Mandel sense by solving an identification problem of the constitutive model of urethane rubber.

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Section: Local Kinematic Variablesmentioning

confidence: 99%

Section: Local Kinematic Variablesmentioning

confidence: 99%

Section: Local Kinematic Variablesmentioning

confidence: 99%

Section: Vectorial Fields Of Recorded Gray Levelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Verification of Continuum Mechanics Predictions with Experimental Mechanics

2019

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Double structured light with divergent projection for surface topometry

Parra-Michel¹,

Martínez-Peláez²,

Duarte-Möller³

2021

Meas. Sci. Technol.

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A simultaneous double divergent projection of structured light to measure large and complex surfaces at short illumination distances is reported. When the structured and divergent lighting is projected, a moiré pattern is created, with the variable period associated with the out-of-plane surface that is analyzed. A theoretical description of the mathematical model and an algorithm to correct the measurements due to the divergence of the illumination are presented, which aim to establish the correct phase-height relationship. The mathematical model and the proposed method are verified numerically and experimentally. Measurements of the complex surfaces show high accuracy with low uncertainty. The system has been shown to allow rapid measurements in an efficient and easy way using a single camera.

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A New Method of Fringe Pattern Analysis

Cited by 2 publications

References 10 publications

Verification of Continuum Mechanics Predictions with Experimental Mechanics

Verification of Continuum Mechanics Predictions with Experimental Mechanics

Double structured light with divergent projection for surface topometry

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