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Deformation of Member under Multiple Loadings

Deformation of Member under Multiple Loadings

When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...

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Modeling Soft Tissue Damage and Failure Using a Combined Particle/Continuum Approach.

M K Rausch¹, G E Karniadakis², J D Humphrey³

¹Department of Biomedical Engineering, Yale University, 55 Prospect Street, New Haven, CT, 06511, USA. manuel.rausch@yale.edu.

Biomechanics and Modeling in Mechanobiology

|August 20, 2016

Summary

This summary is machine-generated.

This study introduces a novel particle/continuum approach combining continuum damage theory with Smoothed Particle Hydrodynamics (SPH) to model soft tissue damage and failure. This method accurately simulates complex failure phenomena like rupturing in biological tissues.

Keywords:

Continuum damage mechanics Failure mechanics Meshfree methods Particle methods Smoothed Particle Hydrodynamics Soft tissue mechanics

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Area of Science:

Computational mechanics
Biomaterials science
Tissue engineering

Background:

Biological soft tissues are susceptible to damage from injury, disease, and aging.
Computational models are crucial for understanding tissue mechanics, but continuum methods struggle with discontinuities like tearing and rupturing.

Purpose of the Study:

To develop and validate a particle/continuum computational approach for modeling soft tissue damage and failure.
To integrate continuum damage theory with Smoothed Particle Hydrodynamics (SPH) for enhanced simulation capabilities.

Main Methods:

Implemented an anisotropic hyperelastic constitutive model within the SPH framework.
Utilized SPH's meshless nature to readily model discontinuities by modifying particle connectivity.
Developed an algorithm for automatic detection and disconnection of damaged particles to simulate rupture.

Main Results:

Demonstrated successful implementation of soft tissue constitutive models in SPH.
Achieved excellent agreement between SPH simulations and analytical/finite element solutions for various extension scenarios.
Validated the approach through simulations of clamped uniaxial extension and a virtual soft tissue peeling experiment.

Conclusions:

Smoothed Particle Hydrodynamics (SPH) combined with continuum damage theory offers an accurate and efficient framework for modeling soft tissue damage and failure.
This particle/continuum approach effectively handles discontinuities inherent in tissue failure mechanisms.