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Plasticity (physics)

physical science Maturity 9-11 Next article →

In physics and materials science, plasticity refers to a solid material's ability to undergo permanent deformation. This is a non-reversible change in shape that occurs when applied forces are strong enough. Unlike elastic behavior, where an object returns to its original form after a load is removed, plastic deformation leaves a lasting change. This phenomenon is essential for engineering and manufacturing. It allows us to shape metals, ceramics, and other solids into useful tools and structures.

stress-strain1
stress-strain1

To understand how this happens, we must look at the transition from elastic to plastic behavior. This transition is known as yielding. When a material is under a load, it first behaves elastically. In this stage, each increase in load causes a proportional increase in extension. If you remove the load, the piece returns to its original size. However, once the load exceeds a specific threshold called the yield strength, the material enters the plastic region. In this region, extension increases more rapidly than in the elastic region. Even after the load is removed, a degree of extension remains.

stress-strain1
stress-strain1

The physical mechanisms driving plasticity vary depending on the material's structure. In crystalline metals, plasticity is often a result of dislocations. These are defects within the crystal lattice. Plasticity in these metals occurs through two primary modes: slip and twinning. Slip is a shear deformation where atoms move across many interatomic distances. Twinning involves deformation occurring along two specific planes due to applied forces.

PlasticityIn111Copper
PlasticityIn111Copper

Other materials use different processes. Brittle materials like rock, concrete, or bone rely on slip at microcracks. Cellular materials, such as liquid foams or biological tissues, change shape through the rearrangement of bubbles or cells, often via T1 processes.

PlasticityIn111Copper
PlasticityIn111Copper

Temperature and speed also play critical roles in how materials deform. Most metals become more plastic when they are heated. For example, lead is plastic enough to be shaped at room temperature. In contrast, cast iron lacks sufficient plasticity for forging, even when it is hot. Some materials exhibit visco-plastic behavior, meaning their deformation depends on the speed of the applied force. Higher stresses are often required to increase the rate of deformation. Additionally, some materials undergo work hardening. This means that after being shaped by processes like cold forming, they require increasingly higher stresses to deform further.

In single crystals, the transition to plastic flow is defined by the critical resolved shear stress, or $\tau_{CRSS}$. This value determines when dislocation migration begins along slip planes. This stress is influenced by temperature through three distinct regions. In the low-temperature region, where temperature is less than or equal to 0.25 times the melting temperature ($T_m$), high strain rates are needed to initiate flow. In the moderate region, between $0.25T_m$ and $0.7T_m$, thermal shear stress components change. In the high-temperature region, where $T \ge 0.7T_m$, plastic flow occurs through mechanisms like Nabarro–Herring and Coble diffusional flow.

Critical Resolved Shear Stress Versus Temperature
Critical Resolved Shear Stress Versus Temperature

Plasticity can also be observed in non-crystalline or amorphous materials, such as polymers. These materials lack long-range order and contain significant free volume, or wasted space. When these materials are pulled under tension, these spaces can open up. This leads to a phenomenon called crazing. Crazing creates fibrils within the material and can result in a hazy appearance or a "crazy" pattern of stretch marks.

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stress-strain1

Similarly, cellular materials like foams deform when the bending moment exceeds the fully plastic moment. In open-cell foams, this happens to the cell walls. In closed-cell foams, the presence of a membrane spanning the cell faces can increase yield strength under tension.

Beyond metals and polymers, even soils and rocks demonstrate plastic properties. In soils, particularly clays, plasticity is caused by the rearrangement of clusters of adjacent grains. This behavior is highly dependent on water content and chemical composition. In rocks and concrete, inelastic deformation is driven by the formation of microcracks and sliding motions. At very high pressures and temperatures, the motion of dislocations within individual grains can also influence how these materials behave. Understanding these complex connections helps scientists predict how the Earth and man-made structures will respond to immense forces.

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🖼️ Images & Media (6)
File:PlasticityIn111Copper.jpg
PlasticityIn111Copper.jpg
File:Critical Resolved Shear Stress Versus Temperature.png
Critical Resolved Shear Stress Versus...
File:Plastic Stress Versus Strain.png
Plastic Stress Versus Strain.png
File:stress-strain1.svg
stress-strain1.svg
File:Critere tresca von mises.svg
Critere tresca von mises.svg
File:Yield surfaces.svg
Yield surfaces.svg
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