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Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

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Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.

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Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling

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Wetting ridge dissipation at large deformations.

Martin H Essink¹, Stefan Karpitschka^2,3, Hamza K Khattak⁴

¹Physics of Fluids Group, Mesa+ Institute, University of Twente, 7500 AE, Enschede, The Netherlands.

The European Physical Journal. E, Soft Matter

|December 17, 2025

Summary

This summary is machine-generated.

Liquid drops slow down on soft surfaces due to viscoelastic braking. This study reveals large deformations, not captured by linear theory, are crucial for accurately modeling this phenomenon in soft matter science.

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Studying Large Amplitude Oscillatory Shear Response of Soft Materials

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Published on: April 25, 2019

Area of Science:

Soft Matter Physics
Rheology
Fluid Dynamics

Background:

Liquid drops exhibit slower sliding on soft, deformable substrates compared to rigid ones.
This phenomenon, known as viscoelastic braking, is caused by energy dissipation in the substrate's viscoelastic material.
Existing models often use linear theory, assuming small deformations, which may not fully explain experimental observations.

Purpose of the Study:

To investigate the role of large deformations in the viscoelastic braking of sliding liquid drops.
To develop a more accurate model for predicting dissipation under a moving contact line on viscoelastic substrates.
To compare model predictions with experimental data for various viscoelastic materials.

Main Methods:

Computational modeling of a contact line moving at constant velocity over a viscoelastic substrate.
Explicitly incorporating large deformation effects in the model.
Analysis of energy dissipation below the contact line.
Exploration of neo-Hookean and strain-stiffening material models.

Main Results:

Linear theory shows significant inaccuracies for thin liquid layers and experimentally relevant ridge angles.
Large deformations are critical for quantitative predictions of viscoelastic braking.
The study provides insights into the behavior of different viscoelastic solid models.

Conclusions:

Accurate modeling of liquid drop sliding on soft substrates requires accounting for large deformations.
The findings challenge the applicability of linear theory in many experimental scenarios.
This research offers a more refined understanding of viscoelastic braking and its implications for soft matter dynamics.