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Plastic Deformations

Plastic Deformations

Plastic deformation represents a fundamental concept in materials science, which explains the irreversible change in the shape of a material when it experiences stress beyond its elastic capability. This phenomenon is important in structural engineering, especially in designing and analyzing cantilever beams—structures that are securely fixed at one end and bear loads at the opposite end. When these beams are subjected to loads within their elastic range, they will return to their...

Plastic Deformations

Plastic Deformations

It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...

Plasticity

Plasticity

Plasticity is the property where an object loses its elasticity and undergoes irreversible deformation, even after the deformation forces are eliminated. If a material deforms irreversibly without increasing stress or load, then this is called ideal plasticity. For example, when a force is applied to an aluminum rod, it changes its shape, but it does not return to its original shape once the force is removed. Plastic deformation or ductility is thus a permanent deformation or change in the...

Plastic Behavior

Plastic Behavior

A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and...

Plastic Deformations of Members with a Single Plane of Symmetry

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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...

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Related Experiment Video

Updated: Apr 19, 2026

Longitudinal Measurement of Extracellular Matrix Rigidity in 3D Tumor Models Using Particle-tracking Microrheology

Longitudinal Measurement of Extracellular Matrix Rigidity in 3D Tumor Models Using Particle-tracking Microrheology

Published on: June 10, 2014

Cell resolved, multiparticle model of plastic tissue deformations and morphogenesis.

Andras Czirok¹, Dona Greta Isai

¹Department of Anatomy & Cell Biology, University of Kansas Medical Center, Kansas City, KS, USA. Department of Biological Physics, Eotvos University, Budapest, Hungary.

Physical Biology

|December 16, 2014

Summary

This summary is machine-generated.

We developed a 3D mechanical model simulating embryonic tissue development. This model accurately predicts tissue behavior and links microscopic cell properties to macroscopic material characteristics.

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Last Updated: Apr 19, 2026

Longitudinal Measurement of Extracellular Matrix Rigidity in 3D Tumor Models Using Particle-tracking Microrheology

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Published on: June 10, 2014

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Published on: October 17, 2011

Engineering Fibrin-based Tissue Constructs from Myofibroblasts and Application of Constraints and Strain to Induce Cell and Collagen Reorganization

Engineering Fibrin-based Tissue Constructs from Myofibroblasts and Application of Constraints and Strain to Induce Cell and Collagen Reorganization

Published on: October 28, 2013

Area of Science:

Computational biology
Biophysics
Developmental biology

Background:

Embryonic tissue development involves complex mechanical processes.
Understanding the relationship between cellular mechanics and tissue-level behavior is crucial.

Purpose of the Study:

To propose a novel three-dimensional mechanical model for embryonic tissue dynamics.
To establish how microscopic parameters influence macroscopic tissue properties.

Main Methods:

Representing mechanically coupled cells as particles connected by elastic beams capable of non-central forces and torques.
Modeling tissue plasticity through a stochastic process involving connectivity changes and mechanical relaxation.
Incorporating rules for particle-based simulation agents to modulate connectivity.

Main Results:

The model demonstrates realistic macroscopic elasto-plastic behavior.
Microscopic model parameters were successfully linked to macroscopic material properties (tissue thickness, elastic modulus, adhesion forces).
Simulated tissue movements exhibited autocorrelation properties matching empirical data from avian embryos.

Conclusions:

The proposed model provides a framework for understanding embryonic tissue mechanics.
Microscopic parameter inference is possible from macroscopic measurements.
Stochastic simulation of cell activities can replicate observed tissue dynamics.