The identification of the unloaded configuration of breast tissue with unknown non-homogenous stiffness parameters using surface measured data in deformed configuration

Hajhashemkhani, Maedeh; Hematiyan, M. R.

doi:10.1016/j.compbiomed.2020.104107

Cited by 4 publications

(1 citation statement)

References 27 publications

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“…The inverse analysis of the particular cases treating a simple geometry, simple loading and unsuitable measured data may lead to infinite solutions [13], for example, a rectangular domain under uniaxial tension. In such cases, one can use other measurement data provided from several different experiments [42,43].…”

Section: -2-example 2: a Cylinder With An Eccentric Hole Under Plane ...mentioning

confidence: 99%

An inverse method of fundamental solutions for the identification of 2D elastic properties of anisotropic solids

Hematiyan,

Khosravifard,

Mohammadi

et al. 2024

J Braz. Soc. Mech. Sci. Eng.

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There are six elastic constants for an anisotropic body in plane strain/stress conditions. In the inverse problem of this study, it is assumed that the elastic constants of an anisotropic body are unknown, while the displacements or strains at several sampling points of the body under static loading are provided. For the first time, a boundary-type meshfree method, i.e. the method of fundamental solutions, is used for solving the problem, where the sensitivity analysis is performed by direct differentiation of the discretized equations. For that, the closed-form relations for sensitivity of the displacements/strains with respect to the elastic constants are analytically derived.Using a numerical study, it is shown that the proposed sensitivity analysis is much more advantageous compared to traditional finite difference approximation. A simple method for proper selection of initial guesses is also proposed. Two different example problems under plane strain and plane stress conditions are provided to investigate the accuracy of the proposed inverse method.Moreover, the effects of the number of measurement data, the measurement error, and the configuration of sampling points on the solution of the inverse problem are studied. It is observed that the solutions are more accurate in the cases where the sampling points are located at different parts of the body.

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Section: -2-example 2: a Cylinder With An Eccentric Hole Under Plane ...mentioning

confidence: 99%

An inverse method of fundamental solutions for the identification of 2D elastic properties of anisotropic solids

Hematiyan,

Khosravifard,

Mohammadi

et al. 2024

J Braz. Soc. Mech. Sci. Eng.

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show abstract

Distributed load identification for hyperelastic plates using gradient-based and machine learning methods

Khosrowpour,

Hematiyan

2024

Acta Mech

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A method for determining elastic constants and boundary conditions of three-dimensional hyperelastic materials

Wang

et al. 2022

International Journal of Mechanical Sciences

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The identification of the unloaded configuration of breast tissue with unknown non-homogenous stiffness parameters using surface measured data in deformed configuration

Cited by 4 publications

References 27 publications

An inverse method of fundamental solutions for the identification of 2D elastic properties of anisotropic solids

An inverse method of fundamental solutions for the identification of 2D elastic properties of anisotropic solids

Distributed load identification for hyperelastic plates using gradient-based and machine learning methods

A method for determining elastic constants and boundary conditions of three-dimensional hyperelastic materials

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