Next week: Yogesh Chandrashekar, 17-Mar-26, 12:20pm Central
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Ellad Tadmor
Mar 10, 2026, 10:27:26 AMMar 10
to aem-solid...@umn.edu
AEM Mechanics Research Seminar
Tuesday 17-Mar-2026, 12:20pm Central
Mr. Yogesh Chandrashekar
Department of Aerospace Engineering and Mechanics, University of Minnesota
Title: On Tension–Compression Failure Asymmetry in Soft Solids: A Logarithmic-Strain-Invariant Approach
Abstract: Soft materials often exhibit pronounced tension–compression asymmetry (TCA) in their softening and failure behaviour, a feature of central importance in biomedical applications where accurate modelling of tissue deformation, softening, and rupture is essential. Yet conventional hyperelastic and continuum-damage formulations fail to capture this behaviour within a unified framework. In this talk, I will present a hyperelastic softening model formulated in terms of logarithmic-strain invariants, specifically the Lode invariants, to explicitly incorporate deformation-mode dependence through a bi-failure construction with distinct tensile and compressive energy limiters. The proposed model extends Volokh’s classical energy-limiting approach by embedding a Lode-angle-dependent weighting function that enables a smooth and thermodynamically consistent transition in softening behaviour across distortion modes, achieved directly within the constitutive description of the bulk response—without introducing internal damage variables. Finally, I will highlight key capabilities of the framework, validated using agarose hydrogels as a model material, including its robust cross-mode and cross-concentration generalizability. By establishing a physically interpretable constitutive framework in the Lode-invariant space, this work provides a unified basis for distortion-mode-sensitive, three-dimensional failure mapping of soft materials.
For more information, visit the AEM Mechanics Research Seminar website:
Tuesday 17-Mar-2026, 12:20pm Central
In-person: Room 321, Mechanical Engineering, University of Minnesota
Online: Webinar registration link
Department of Aerospace Engineering and Mechanics, University of Minnesota
Title: On Tension–Compression Failure Asymmetry in Soft Solids: A Logarithmic-Strain-Invariant Approach
Abstract: Soft materials often exhibit pronounced tension–compression asymmetry (TCA) in their softening and failure behaviour, a feature of central importance in biomedical applications where accurate modelling of tissue deformation, softening, and rupture is essential. Yet conventional hyperelastic and continuum-damage formulations fail to capture this behaviour within a unified framework. In this talk, I will present a hyperelastic softening model formulated in terms of logarithmic-strain invariants, specifically the Lode invariants, to explicitly incorporate deformation-mode dependence through a bi-failure construction with distinct tensile and compressive energy limiters. The proposed model extends Volokh’s classical energy-limiting approach by embedding a Lode-angle-dependent weighting function that enables a smooth and thermodynamically consistent transition in softening behaviour across distortion modes, achieved directly within the constitutive description of the bulk response—without introducing internal damage variables. Finally, I will highlight key capabilities of the framework, validated using agarose hydrogels as a model material, including its robust cross-mode and cross-concentration generalizability. By establishing a physically interpretable constitutive framework in the Lode-invariant space, this work provides a unified basis for distortion-mode-sensitive, three-dimensional failure mapping of soft materials.
For more information, visit the AEM Mechanics Research Seminar website:
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Ellad B. Tadmor, Ph.D.
Russell J. Penrose Professor
Department of Aerospace Engineering and Mechanics
University of Minnesota
https://dept.aem.umn.edu/~tadmor/
Russell J. Penrose Professor
Department of Aerospace Engineering and Mechanics
University of Minnesota
https://dept.aem.umn.edu/~tadmor/
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