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    A new finite-element (FE) approach improves dynamic mechanical analysis (DMA) for soft materials. This method accurately estimates poroelastic properties like shear modulus and hydraulic conductivity, outperforming traditional techniques.

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    Area of Science:

    • Materials Science
    • Biophysics
    • Mechanical Engineering

    Background:

    • Dynamic mechanical analysis (DMA) traditionally uses viscoelastic models, often neglecting inertial forces and transverse boundary effects.
    • Existing DMA techniques approximate material properties, limiting accuracy for soft, poroelastic materials.

    Purpose of the Study:

    • To develop and validate a finite-element (FE) approach for processing DMA data to accurately estimate poroelastic material properties.
    • To incorporate frequency-dependent inertial forces, crucial for soft media, into the FE model.
    • To compare the FE approach with traditional analytical methods and a viscoelastic model using tofu as a test material.

    Main Methods:

    • A finite-element (FE) model was developed to include frequency-dependent inertial forces in DMA data processing.
    • A nonlinear inversion technique was used to estimate poroelastic properties (shear modulus, hydraulic conductivity) by fitting the FE model to DMA measurements.
    • Viscoelastic and analytical poroelastic models were also developed and compared to the FE approach.
    • Experiments were conducted on tofu samples with varying stiffnesses (1-14 Hz) using rough platens to promote fluid-solid interaction.

    Main Results:

    • The FE poroelastic approach successfully estimated shear modulus and hydraulic conductivity in tofu.
    • Traditional analytical poroelastic methods were insufficient under the applied boundary constraints.
    • Inclusion of inertial forces in the FE model accounted for discrepancies observed with viscoelastic models.
    • The FE method demonstrated appropriate shear modulus contrast between tofu samples and consistent hydraulic conductivity contrast.

    Conclusions:

    • The finite-element (FE) approach provides high-quality estimates of poroelastic properties from DMA data, particularly for soft materials.
    • This FE method overcomes limitations of traditional analytical techniques by incorporating inertial forces and boundary effects.
    • The study validates the FE approach for characterizing soft materials like tofu, relevant for phantom development in elastography.