Influence of elastic deformations on body-wave velocity in solids: a case study considering shear deformations in concrete

Fuente: arXiv
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Main Authors: Cheng, Hao, Weemstra, Cornelis, Löer, Katrin, Hendriks, Max A. N., Yang, Yuguang
Format: Preprint
Published: 2025
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author Cheng, Hao
Weemstra, Cornelis
Löer, Katrin
Hendriks, Max A. N.
Yang, Yuguang
author_facet Cheng, Hao
Weemstra, Cornelis
Löer, Katrin
Hendriks, Max A. N.
Yang, Yuguang
contents This paper investigates the influence of elastic deformation on the velocity of body waves in compressible isotropic materials making use of the framework of acoustoelasticity. Specifically, it examines body waves propagating at an angle to the principal deformation axes, where both shear and normal deformations are present in the coordinate system defined by the wave propagation direction. While numerous efforts have addressed this topic, the theoretical derivations have not yet to provide definitive conclusions about the response of wave velocity to applied shear stresses and strains. To derive more specific conclusions for body waves in concrete, we analyzed three examples using concrete as the medium. The key findings are that, in case of concrete materials when body waves propagate on the shear deformation plane, variations in longitudinal wave velocity are predominantly attributed to changes in normal strains, whereas transverse wave velocity is significantly influenced by both normal and shear strains. This finding can enhance the use of acoustoelasticity for detecting the magnitudes and directions of principal stresses in plane stress state applications.
format Preprint
id arxiv_https___arxiv_org_abs_2503_04354
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Influence of elastic deformations on body-wave velocity in solids: a case study considering shear deformations in concrete
Cheng, Hao
Weemstra, Cornelis
Löer, Katrin
Hendriks, Max A. N.
Yang, Yuguang
Classical Physics
Applied Physics
This paper investigates the influence of elastic deformation on the velocity of body waves in compressible isotropic materials making use of the framework of acoustoelasticity. Specifically, it examines body waves propagating at an angle to the principal deformation axes, where both shear and normal deformations are present in the coordinate system defined by the wave propagation direction. While numerous efforts have addressed this topic, the theoretical derivations have not yet to provide definitive conclusions about the response of wave velocity to applied shear stresses and strains. To derive more specific conclusions for body waves in concrete, we analyzed three examples using concrete as the medium. The key findings are that, in case of concrete materials when body waves propagate on the shear deformation plane, variations in longitudinal wave velocity are predominantly attributed to changes in normal strains, whereas transverse wave velocity is significantly influenced by both normal and shear strains. This finding can enhance the use of acoustoelasticity for detecting the magnitudes and directions of principal stresses in plane stress state applications.
title Influence of elastic deformations on body-wave velocity in solids: a case study considering shear deformations in concrete
topic Classical Physics
Applied Physics
url https://arxiv.org/abs/2503.04354