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Constitutive relation for red cell membrane. Correction.

E A Evans

    Biophysical Journal
    |June 1, 1976
    PubMed
    Summary
    This summary is machine-generated.

    This study corrects an error in membrane elastic behavior equations by refining the strain tensor used in constitutive relations. The corrected tensor ensures accurate application across various coordinate systems without altering material properties.

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    Area of Science:

    • Solid Mechanics
    • Materials Science
    • Continuum Mechanics

    Background:

    • Previous research on membrane elastic behavior utilized a specific strain tensor in constitutive relations.
    • Finite deformations in membrane surfaces require accurate strain tensor representation for elastic analysis.

    Purpose of the Study:

    • To correct a subtle error in the constitutive relation for large elastic deformations of membrane surfaces.
    • To introduce the correct strain tensor for analyzing membrane elastic behavior.

    Main Methods:

    • Re-evaluation of the strain tensor used in constitutive equations for membrane elasticity.
    • Comparison of the Lagrangian strain tensor with the corrected strain tensor, considering coordinate transformations in deformed and undeformed states.

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    Main Results:

    • Identified and corrected an error in the strain tensor representation for membrane elastic behavior.
    • The corrected strain tensor is properly transformed by rotations in the deformed material state.
    • Principal membrane tensions and material elastic constants remain unchanged.

    Conclusions:

    • The corrected constitutive relation ensures accurate application to coordinate systems beyond the principal axis system.
    • This refinement enhances the precision of models describing large elastic deformations in membranes.