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Related Concept Videos

Hooke's Law01:26

Hooke's Law

Hooke's law, a pivotal principle in material science, establishes that the strain a material undergoes is directly proportional to the applied stress, defined by a factor called the modulus of elasticity or Young's modulus.
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

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

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.
Normal Strain under Axial Loading01:20

Normal Strain under Axial Loading

Normal strain under axial loading is an important concept in the field of mechanics of materials. Axial loading implies the application of a force along the axis of a material, like a column or bar. This force can either compress or stretch the material. In the context of axial loading, normal strain is the deformation experienced by the material in the direction of the loading force. It's calculated as the change in length divided by the original length of the material. This unitless ratio...
Strain and Elastic Modulus01:15

Strain and Elastic Modulus

The quantity that describes the deformation of a body under stress is known as strain. Strain is given as a fractional change in either length, volume, or geometry under tensile, volume (also known as bulk), or shear stress, respectively, and is a dimensionless quantity. The strain experienced by a body under tensile or compressive stress is called tensile or compressive strain, respectively. In contrast, the strain experienced under bulk stress and shear stress is known as volume and shear...
Generalized Hooke's Law01:22

Generalized Hooke's Law

The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
Bending of Members Made of Several Materials01:11

Bending of Members Made of Several Materials

In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...

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A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials
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Published on: May 18, 2015

A large strain material model for soft tissues with functionally graded properties.

Uwe-Jens Görke1, Hubert Günther, Thomas Nagel

  • 1Department of Environmental Informatics, Helmholtz Centre for Environmental Research-UFZ, Permoserstrasse 15, D-04318 Leipzig, Germany.

Journal of Biomechanical Engineering
|July 2, 2010
PubMed
Summary
This summary is machine-generated.

This study presents an advanced biphasic material model to simulate soft tissue response to mechanical loads. The model accurately predicts tissue behavior by integrating hydraulic and mechanical processes, validated with experimental data.

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Area of Science:

  • Biomechanics
  • Biomaterials Science
  • Computational Mechanics

Background:

  • Soft tissues, including articular cartilage, exhibit complex responses to mechanical loading.
  • These responses are governed by coupled hydraulic and mechanical processes.
  • Existing models may not fully capture the intricate behaviors like nonlinearity and anisotropy.

Purpose of the Study:

  • To develop and present an enhanced biphasic material model for soft tissues.
  • To incorporate large-strain, nonlinear, anisotropic, and rate-dependent behaviors.
  • To validate the model's predictive capabilities through analytical and experimental comparisons.

Main Methods:

  • A large-strain numerical approach was employed for hydraulic-mechanical (HM) coupled processes.
  • A thermodynamically consistent framework was used to include physical and geometrical nonlinearities, anisotropy, and intrinsic rate-dependency.
  • The model was implemented in the MSC MARC finite element code and verified analytically and experimentally.

Main Results:

  • The enhanced biphasic model demonstrated accurate simulation of soft tissue load responses.
  • Analytical verification in tendon-like structures showed good agreement.
  • Poroelastic and viscoelastic features matched experimental data from agarose hydrogel compression tests.

Conclusions:

  • The enhanced biphasic material model provides a robust tool for analyzing soft tissue mechanics.
  • The model's ability to capture complex behaviors is validated by its successful application in cartilage research.
  • This work advances the understanding and computational modeling of soft tissue biomechanics.