Shear Stress And Plastic Deformation: Understanding The Mechanism

how does shear stress cause plastic deformation

Plastic deformation is an irreversible process that occurs when a material undergoes a permanent change in shape due to applied forces. This phenomenon is observed in various materials, particularly metals, soils, rocks, concrete, and foams. Shear stress plays a crucial role in causing plastic deformation by exceeding a critical value, leading to irreversible changes in atomic positions. This results in the shearing off of atomic blocks on slip planes, allowing deformation to occur in multiple directions simultaneously without permanently rupturing the atomic structure. The critical resolved shear stress (CRSS) is a key factor in initiating dislocation migration and defining the transition from elastic to plastic deformation behaviour. While shear stress is a significant contributor to plastic deformation, it is important to note that other mechanisms, such as dislocation motion, vacancy motion, twinning, and phase transformation, also contribute to the complex nature of plasticity.

Characteristics Values
Plastic deformation is an irreversible process that occurs when shear stress exceeds a critical value, causing permanent changes in atomic positions
Plastic deformation occurs in metals, ceramics, polymers, glasses, soils, rocks, concrete, foams, and crystalline materials
Shear stress causes plastic deformation by exceeding the critical resolved shear stress (CRSS) in a slip plane, particularly in the slip direction, leading to the shearing off of lattice planes
The critical resolved shear stress (CRSS) depends on the yield strength of the material and the Schmid factor, which is influenced by the angle between the slip plane direction and the applied force
The Schmid factor comprises two variables: λ and φ
The slip plane is where externally applied normal stress induces shear stress, causing atomic blocks to shear off
The slip direction is the direction in which the force is applied, parallel to the atomic planes (shear stress)
The combination of slip plane and slip direction is called the slip system
Dislocations are defects in the crystal structure that can cause plastic deformation, especially in metals
Dislocation motion requires high shear stresses in ceramics due to covalent atomic bonds
Microcracking is a form of damage triggered by "shear faults" during contact loading
Residual stresses are the result of plastic deformation during surface grinding
Plastic deformation can be improved by applying very large plastic strains to produce fine-grain structures in materials, increasing strength
Plastic deformation in amorphous materials does not involve dislocations due to the lack of long-range order
The shear modulus during plastic deformation is typically assumed to be zero, indicating an absence of stiffness
After plastic deformation the shear modulus returns to its original value

shunpoly

Shear stress and slip planes

Plastic deformation is an irreversible process that occurs when a material undergoes a change in shape in response to applied forces, such as bending or pounding. This phenomenon is particularly common in metals, soils, rocks, concrete, and foams. At the crystalline scale, plasticity in metals is often caused by dislocations, which are defects in the crystal structure that allow for the slipping of atomic planes.

Shear stress plays a crucial role in plastic deformation by inducing the slipping of these atomic planes, also known as lattice planes. When a force is applied to a material, it can be broken down into a vertical component and a parallel component in relation to the slip plane. Even if only normal stresses are applied externally, shear stresses are generated within the slip plane. These shear stresses cause the atomic blocks to shear off, resulting in plastic deformation. The combination of the slip plane and the direction of slipping is referred to as a slip system.

The slip planes are specific directions along which the atoms can slide without causing irreparable damage to the atomic structure. In metals, the presence of multiple slip planes with various sliding directions enhances ductility. This allows for simultaneous deformation in multiple directions, preserving the stability of the unit cell during the deformation process.

To initiate the deformation process, a critical resolved shear stress (CRSS) must be exceeded in the slip plane and a specific slip direction. The CRSS is influenced by factors such as temperature, pressure, and the presence of other dislocations or defects within the crystal. At high temperatures and pressures, plastic behaviour can be influenced by dislocation motion in individual grains.

While shear stress is a key factor in plastic deformation, it is important to note that other mechanisms may also contribute. These include vacancy motion, twinning, phase transformation, and viscous flow of amorphous materials. Additionally, the physical mechanisms causing plastic deformation can vary depending on the material and its microstructure.

shunpoly

Shear modulus and plastic deformation

Shear modulus, also known as the modulus of rigidity, is a measure of the elastic shear stiffness of a material. It is defined as the ratio of shear stress to shear strain. The shear modulus is one of several quantities for measuring the stiffness of materials. The derived SI unit of shear modulus is the pascal (Pa), although it is usually expressed in gigapascals (GPa) or thousand pounds per square inch (ksi).

The shear modulus is used in several models that attempt to predict the shear modulus of metals and alloys. These models include the Varshni-Chen-Gray model, the Steinberg-Cochran-Guinan (SCG) shear modulus model, and the Nadal-Le Poac (NP) shear modulus model.

Plastic deformation is an irreversible process that occurs when shear stress exceeds a critical value, causing permanent changes in atomic positions. It is characterized by phenomena such as yielding, strain hardening, and necking. During plastic deformation, the shear modulus is typically assumed to be zero. However, after plastic deformation, the shear modulus is typically about the same as it was before deformation. This implies that the shear modulus remains unchanged due to the lattice bonds before and after plasticization.

Plastic deformation can occur through different mechanisms such as dislocation motion, vacancy motion, twinning, phase transformation, or viscous flow of amorphous materials. It can be observed in crystalline solids, polymers, and glasses. In metals, plastic deformation occurs at a constant volume, while ceramics can densify under stress at high temperatures.

Yorkshire Tea Bags: Plastic-Free or Not?

You may want to see also

shunpoly

Critical resolved shear stress

The CRSS is the value of resolved shear stress at which yielding of the grain occurs, marking the beginning of plastic deformation. This is calculated by the maximum value of the Schmid factor, which is the geometrical factor typically used to relate the resolved shear stress to the applied stress. The Schmid factor is most applicable to single-crystal metals, but the Taylor factor is more accurate for polycrystal metals.

In single crystals, slip occurs by dislocation motion, where a certain stress must be applied to overcome the resistance to dislocation motion. This critical shear stress is related to the stress required to move dislocations across the slip plane. As the tensile load is increased, the resolved shear stress on each system increases until τC is reached on one system, initiating plastic deformation.

The relationship between CRSS and temperature and strain rate has been studied, particularly in BCC materials. At lower temperatures, more energy is required to activate some slip systems, and BCC specimens become brittle. Generally, BCC metals have higher CRSS values compared to FCC metals.

A novel method for determining CRSS using neutron diffraction has been proposed, which measures lattice strains in different directions during uniaxial deformation. This method provides unambiguous results and can determine the uncertainty of measured CRSS values.

shunpoly

Shear stress and atomic structure

Plastic deformation is an irreversible process that occurs when shear stress exceeds a critical value, causing permanent changes in atomic positions. This phenomenon is observed in various materials, including metals, soils, rocks, concrete, and foams, but the underlying mechanisms can vary significantly. Metals, in particular, exhibit plasticity due to the presence of numerous slip planes, allowing for simultaneous deformation in multiple directions without irreparably rupturing the atomic structure.

At the atomic level, shear stress causes the slipping or gliding of atomic planes, also known as lattice planes. This slipping occurs when a critical resolved shear stress (CRSS) is exceeded in a specific slip plane and direction, leading to the shearing off of atomic blocks. The combination of the slip plane and slip direction is referred to as a slip system, and metals with higher ductility tend to possess a larger number of these slip systems.

The deformation process can be influenced by factors such as temperature and the presence of second-phase particles. In the low-temperature region, a high strain rate is required to achieve the necessary CRSS for initiating dislocation glide and plastic flow. At moderate temperatures, thermal shear stress decreases, and time-dependent plastic deformation mechanisms, such as solute-drag, become relevant. In the high-temperature region, plastic flow occurs due to thermally activated mechanisms like Nabarro–Herring (NH) and Coble diffusional flow, as well as dislocation climb-glide creep.

While shear stress plays a crucial role in plastic deformation, it is important to note that normal stresses acting on a material can also induce shear stress within it. Externally applied normal stresses can be resolved into vertical and parallel components, with the parallel components inducing shear stresses in the slip planes. These shear stresses then lead to the slipping of atomic planes and the initiation of the deformation process.

In conclusion, shear stress is a fundamental factor in understanding plastic deformation and its impact on atomic structure. By exceeding critical values of shear stress, materials can undergo irreversible changes in atomic positions, leading to plastic deformation. The presence of slip planes and the ability to withstand shear stress without catastrophic failure contribute to the ductility and plasticity of materials, particularly metals.

shunpoly

Shear stress and plastic deformation mechanisms

Plastic deformation is the ability of a solid material to undergo permanent, irreversible changes in response to applied forces. It is observed in most materials, especially metals, soils, rocks, concrete, and foams. However, the mechanisms causing plastic deformation vary.

In crystalline materials, plasticity is usually a consequence of dislocations, which are defects in the crystal structure. These dislocations can move through the lattice, leading to shear faults, slip planes, twins, or weak interfaces. Shear stress can cause these dislocations to migrate along parallel slip planes, resulting in plastic deformation. The critical resolved shear stress (CRSS) required to initiate dislocation migration is defined by Schmid's law: τCRSS=σy/m, where σy is the yield strength and m is the Schmid factor, which includes the angle between the slip plane direction and the applied force.

The shear modulus (G) during plastic deformation is typically assumed to be zero, implying an absence of stiffness. However, after deformation, G returns to its original value, indicating that the nature of bonding remains unchanged.

In metals, the theoretical CRSS is between 1000 and 3000 N/mm², but in reality, only a fraction of this stress is needed to deform the material. This is because normal stresses applied externally can induce shear stresses internally, leading to the slipping of atomic planes and, consequently, plastic deformation.

Additionally, plastic deformation can occur during surface grinding, resulting in residual stresses. It can also be induced by contact loading, leading to either cone cracks from tensile stresses or microcracking from compressive stress.

Frequently asked questions

Plastic deformation is the ability of a solid material to undergo permanent, irreversible deformation, a non-reversible change of shape in response to applied forces.

Plastic deformation is caused by the gliding or shearing off of atomic blocks on slip planes. This occurs when a critical resolved shear stress (CRSS) is exceeded in a slip plane, particularly in the slip direction.

Plastic deformation is observed in most materials, particularly metals, soils, rocks, concrete, and foams.

Different mechanisms may be responsible for plastic deformation, including dislocation motion, vacancy motion, twinning, phase transformation, or viscous flow of amorphous materials.

Written by
Reviewed by

Explore related products

Share this post
Print
Did this article help you?

Leave a comment