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Bending of Members Made of Several Materials

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...

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

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.

Plastic Deformations of Members with a Single Plane of Symmetry

Plastic Deformations of Members with a Single Plane of Symmetry

When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...

Deformations in a Symmetric Member in Bending

Deformations in a Symmetric Member in Bending

When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...

Unsymmetric Loading of Thin-Walled Members

Unsymmetric Loading of Thin-Walled Members

Thin-walled members with non-symmetrical cross-sections are vital to engineering structures, offering material efficiency and structural integrity. However, unsymmetrical loading on these members leads to complex stress distributions, resulting in simultaneous bending and twisting can cause deformation or structural failure. The interaction between bending and twisting requires detailed analysis to ensure structural resilience.
The concept of the shear center is crucial in countering the...

Deformations in a Transverse Cross Section

Deformations in a Transverse Cross Section

When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...

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Related Experiment Video

Updated: May 9, 2026

A Microfluidic Platform for Stimulating Chondrocytes with Dynamic Compression

A Microfluidic Platform for Stimulating Chondrocytes with Dynamic Compression

Published on: September 13, 2019

Building an anisotropic meniscus with zonal variations.

Michael M Higashioka¹, Justin A Chen, Jerry C Hu

¹1 Department of Biomedical Engineering, University of California Davis , Davis, California.

Tissue Engineering. Part A

|August 13, 2013

Summary

This study engineered a zonal knee meniscus using self-assembly, successfully replicating native tissue properties. The engineered meniscus shows distinct inner and outer zones with appropriate biomechanical and biochemical characteristics for regeneration.

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An Experimental and Finite Element Protocol to Investigate the Transport of Neutral and Charged Solutes across Articular Cartilage

An Experimental and Finite Element Protocol to Investigate the Transport of Neutral and Charged Solutes across Articular Cartilage

Published on: April 23, 2017

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Last Updated: May 9, 2026

A Microfluidic Platform for Stimulating Chondrocytes with Dynamic Compression

A Microfluidic Platform for Stimulating Chondrocytes with Dynamic Compression

Published on: September 13, 2019

An Experimental and Finite Element Protocol to Investigate the Transport of Neutral and Charged Solutes across Articular Cartilage

An Experimental and Finite Element Protocol to Investigate the Transport of Neutral and Charged Solutes across Articular Cartilage

Published on: April 23, 2017

Area of Science:

Biomaterials Engineering
Tissue Engineering
Orthopedic Research

Background:

Knee meniscus regeneration faces challenges in recreating native zonal morphology and matrix properties.
Existing methods struggle to replicate the distinct inner (cartilaginous) and outer (fibrocartilaginous) meniscus zones.

Purpose of the Study:

To develop a self-assembling, zonal engineered meniscus that mimics native knee meniscus structure and function.
To investigate the ability to create distinct biomechanical and biochemical properties in the inner and outer zones of an engineered meniscus.

Main Methods:

Utilized a self-assembly process for meniscus engineering.
Created a zonal construct by first self-assembling the inner meniscus (100% chondrocytes) and then seeding the outer meniscus (chondrocytes and meniscus cells).
Cultured the engineered meniscus for 4 weeks and analyzed biomechanical (moduli) and biochemical (GAG/DW, collagen/DW) properties.

Main Results:

The engineered inner meniscus showed increased instantaneous and relaxation moduli (42%) and GAG/DW (62%) compared to the outer zone.
The outer zone exhibited significantly higher circumferential tensile modulus (101%) and collagen/DW (129%) than the inner zone.
No difference in radial tensile modulus between control and engineered zonal menisci indicated successful integration of the zones.

Conclusions:

The self-assembly method successfully engineered a zonal meniscus with distinct biomechanical and biochemical properties mirroring native tissue.
This approach can recapitulate the anisotropic behavior characteristic of the knee meniscus.
The engineered zonal meniscus holds promise for future knee meniscus regeneration strategies.