
Plastic deformation is a phenomenon observed in most materials, especially metals, soils, rocks, concrete, and foams. It occurs when a material is subjected to stress that exceeds its yield strength, resulting in a permanent and non-reversible change in shape. During plastic deformation, the energy applied is not conserved and is instead converted into heat or used to change the internal structure of the material. This is in contrast to elastic deformation, where energy is conserved and stored as elastic potential energy within the object. The loss of mechanical energy during plastic deformation is due to the absence of stored elastic potential energy, leading to a dissipation of energy through heat and internal friction. This understanding of energy loss in plastic deformation has practical applications in various fields, such as engineering and waste management, where waste-to-energy methods are explored to extract energy from plastic waste.
| Characteristics | Values |
|---|---|
| Definition of plastic deformation | A permanent, non-reversible change of shape in response to applied forces |
| Materials that exhibit plastic deformation | Metals, soils, rocks, concrete, foams, polymers, and more |
| Energy loss during plastic deformation | Energy is dissipated as heat or used for internal structural changes, resulting in a loss of mechanical energy |
| Examples of plastic deformation | Bending a paperclip, squashing a piece of BluTac, crumpling a piece of paper |
| Plastic deformation in polycrystals | Occurs due to dislocation migration along non-parallel slip planes |
| Plastic deformation in single crystals | Defined by critical resolved shear stress (τCRSS) and Schmid's law |
| Plastic deformation energy | Stored through a deformation process and released through an annealing process |
| Waste-to-energy methods | Incinerating plastic waste to generate energy, but emissions are a concern |
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What You'll Learn

Plastic deformation defined
Plastic deformation is a process that causes a material to change its shape or size irreversibly. It occurs when a material is subjected to sufficient stress or load, leading to a permanent alteration of its shape, form, or texture. This phenomenon is observed in most materials, particularly metals, soils, rocks, concrete, and foams.
Plastic deformation is defined as the ability of a solid material to undergo permanent deformation without reverting to its original shape. It involves breaking and forming bonds between atoms, making the reversal to the initial state impossible. The force required for plastic deformation is significant, as it involves breaking the bonds of atoms in a crystal plane.
Plastic deformation is characterised by the absence of an apparent flexural elastic limit. It is further categorised into three basic types: elongation, contraction, and expansion. The onset of plastic deformation is independent of the volumetric part of the stress tensor. The most popular yield criterion among those formulated as pressure-independent is the von Mises criterion, which relies on the second invariant of the deviatoric stress tensor.
The process of plastic deformation can be influenced by factors such as pressure and heat, and the speed of stress application. In manufacturing, plastic deformation is utilised under controlled heat and pressure conditions, allowing materials to adapt to structural changes incrementally until the desired shape is achieved. However, if the stress causes rapid material changes that exceed the structural limits, the material may break.
Plastic deformation is commonly observed in metal-forming processes such as forging, pressing, rolling, and swaging. It is also studied through experiments with springs, where Hooke's law is applied to differentiate between plastic and elastic materials. The internal variable ξ in work-hardening models represents the work dissipated during plastic deformation, as depicted in the shaded area under the diagram in an uniaxial test.
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Energy loss during plastic deformation
Plastic deformation refers to the ability of a solid material to undergo a permanent, non-reversible change in shape in response to applied forces. This phenomenon is observed in various materials, particularly metals, soils, rocks, concrete, and foams. During plastic deformation, energy is consumed and expelled from the system as the microstructure of the material is irreversibly altered. This energy loss occurs because plastic deformation requires the breakage of atomic bonds, resulting in energy dissipation. The energy is converted into other forms, such as heat, sound, and light, leading to an increase in temperature and the generation of sound and light.
The energy loss during plastic deformation can be understood through the concept of internal friction. As the material undergoes deformation, the internal friction converts mechanical energy into heat, causing an increase in temperature. This principle is utilised in Friction Stir Welding (FSW), where the internal friction generated during plastic deformation contributes to the welding process.
Work hardening models, such as the single-variable dislocation evolution approach, provide insights into the energy dissipation during plastic deformation. These models consider the isotropic growth of the yield surface and the work dissipated, represented by the shaded area under diagrams illustrating the relationship between stress and strain. The energy loss during plastic deformation is defined by integrals that account for both stress and plastic strain expressed as second-order tensors.
The onset of plastic deformation is influenced by the critical resolved shear stress (τCRSS), which defines the transition from elastic to plastic deformation behaviour in crystalline materials. Schmid's law describes the relationship between τCRSS, yield strength, and the Schmid factor, which considers the angles between the slip plane and the applied tensile force. Additionally, the von Mises criterion, a pressure-independent yield criterion, relates the distortion energy and the shear modulus, providing insights into the onset of plastic deformation.
The energy lost during plastic deformation can be recovered through processes like annealing. Annealing involves releasing the stored deformation energy through a recovery process, as observed in ferritic stainless steel. By understanding the energy changes during plastic deformation and utilising techniques like annealing, scientists and engineers can manage and optimise the energy dynamics in various materials and applications.
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Plastic deformation in crystalline materials
Plastic deformation is the ability of a solid material to undergo a permanent, non-reversible change in shape in response to applied forces. This is observed in most materials, including metals, soils, rocks, concrete, and foams. At a crystalline scale, plasticity in metals is usually a consequence of dislocations, which are defects in the crystal structure.
The transition from elastic to plastic deformation behavior in crystalline materials is defined by a critical resolved shear stress (CRSS). In single crystals, this is given by Schmid's law as τCRSS=σy/m, where σy is the yield strength and m is the Schmid factor, which accounts for the angles between the slip plane and the applied tensile force. When the critical resolved shear stress is reached, dislocation migration along slip planes occurs, resulting in plastic deformation.
In polycrystals, the presence of grain boundaries acts as obstacles to dislocation migration, influencing the plastic flow. The critical resolved shear stress for polycrystals is also defined by Schmid's law, considering the weighted Schmid factor that reflects the least favorably oriented slip system. Additionally, in polycrystals, the onset of plastic deformation can be influenced by microscopic yielding within individual crystallites.
Plastic deformation in crystalline polymers involves the competition between cavitation and the activation of crystal plasticity. Cavitation occurs in polymers with crystals of higher plastic resistance, while plastic deformation occurs in those with lower plastic resistance. This has been observed in materials such as poly(methylene oxide) (POM), polypropylene (PP), and high-density polyethylene (HDPE).
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Plastic deformation in polycrystals
Plastic deformation in solids is defined as a non-reversible change of shape in response to applied forces. In the case of polycrystals, the deformation of each crystal grain is similar to that of a single crystal, with dislocations occurring under shear stress and sliding along a crystal plane. However, the lattice orientation of each crystal grain in a polycrystal differs, resulting in an irregular arrangement of atoms at the grain interfaces. This leads to both intragranular and intergranular deformation, causing the overall plastic deformation of the polycrystal to be smaller than that of a single crystal.
The presence of grain boundaries in polycrystals acts as a barrier to dislocation motion, impeding the free flow of dislocations and resulting in a lower deformation compared to single crystals. The grain boundary strengthening effect is described by the Hall-Petch relationship, which states that as the grain size decreases, the yield strength of polycrystalline materials increases. This is because a finer grain size results in a higher ratio of grain boundary regions, enhancing the strength and hardness of the material.
The deformation of polycrystals is influenced by the interaction between dislocations and grain boundaries. When the crystal grains are reduced to 40 nm, they cannot accommodate multiple lattice dislocations, and other deformation mechanisms come into play, such as grain boundary sliding and partial dislocation emission. Below 20 nm, a reverse Hall-Petch relationship is observed, where the grain-boundary-assisted deformation causes a decrease in grain size and softening of the material.
The plastic deformation of polycrystals can be modelled using the critical resolved shear stress (τCRSS), which defines the transition from elastic to plastic deformation. In polycrystals, the τCRSS is influenced by the grain boundary planar defects, which impede dislocation migration. The weighted Schmid factor (ṁ) is used to account for the least favorably oriented slip system among the grains, affecting the yield strength of the polycrystal.
The slip behaviour of polycrystals during plastic deformation is complex. When an external force is applied, the crystal grains do not slip simultaneously but rather in batches. This staggered slipping results in unevenness of deformation, generating internal stresses that remain as residual stress within the material. These residual stresses can impact the working stress, potentially weakening the material and leading to the formation of fatigue cracks under alternating load conditions.
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Plastic deformation in engineering
In engineering, deformation is described as the change in size or shape of an object. Deformation can be elastic or plastic. Plastic deformation, also known as plasticity, is the ability of a solid material to undergo permanent, non-reversible changes in response to applied forces. This is distinct from elastic deformation, where the object returns to its original shape once the force is removed.
Plastic deformation is observed in most materials, especially metals, soils, rocks, concrete, and foams. It is a crucial concept in materials science and engineering, influencing the behaviour and performance of materials under stress. Engineers consider plastic deformation characteristics when selecting materials for specific applications, choosing materials with appropriate ductility and strength to withstand operational stresses without failure.
The transition from elastic behaviour to plastic behaviour is known as yielding. In crystalline materials, plasticity is caused by dislocations, or defects in the crystal lattice, that allow atoms to slide past each other more easily. Dislocations are influenced by factors such as temperature, strain rate, material composition, and microstructure. Elevated temperatures generally increase the mobility of dislocations, making materials more ductile and easier to deform plastically. At low temperatures, materials may become more brittle and prone to fracture. Higher strain rates can lead to increased strength but reduced ductility, while lower strain rates can result in more pronounced plastic deformation.
Plastic deformation involves the breaking and reformation of atomic bonds, leading to a change in the material's microstructure. This process can be modelled using the von Mises criterion, which characterises the transition from elastic to plastic deformation behaviour. The onset of plastic deformation is independent of the volumetric part of the stress tensor and is instead influenced by the distortion energy and shear modulus. The work hardening rate can also be used to understand plastic deformation, with the internal variable ξ representing the work dissipated during the process.
Understanding the principles, mechanisms, and applications of plastic deformation is essential for engineers and scientists to design and manufacture materials and components that meet the demands of various engineering applications.
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Frequently asked questions
Plastic deformation is a permanent, non-reversible change in the shape of a solid material in response to applied forces.
Elastic deformation conserves energy within an object as recoverable elastic potential energy. Plastic deformation, on the other hand, dissipates energy as heat or through internal structural changes, making it non-recoverable.
During plastic deformation, the energy applied is not stored as recoverable potential energy. Instead, it is dissipated as heat or used to change the internal structure of the material.
Plastic waste can be burned in waste-to-energy facilities to extract its energy value. However, this method faces economic and societal challenges, as well as opposition from activists concerned about emissions.








































