Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Lecture

Hardening Elasto-Plasticity

Description

This lecture covers the concepts of plastic flow, plastic potential, elastic domain, yield function, hardening rule, isotropic hardening, loading and unloading conditions, and the derivation of the stress-strain relationship in hardening elasto-plasticity models.

Official source

Ontological neighbourhood

Chemical engineering

Materials science: Deformation of materials

Related concepts (29)

Deformation (engineering)

In engineering, deformation refers to the change in size or shape of an object. Displacements are the absolute change in position of a point on the object. Deflection is the relative change in external displacements on an object. Strain is the relative internal change in shape of an infinitesimally small cube of material and can be expressed as a non-dimensional change in length or angle of distortion of the cube. Strains are related to the forces acting on the cube, which are known as stress, by a stress-strain curve.

Plasticity (physics)

In physics and materials science, plasticity (also known as plastic deformation) is the ability of a solid material to undergo permanent deformation, a non-reversible change of shape in response to applied forces. For example, a solid piece of metal being bent or pounded into a new shape displays plasticity as permanent changes occur within the material itself. In engineering, the transition from elastic behavior to plastic behavior is known as yielding. Plastic deformation is observed in most materials, particularly metals, soils, rocks, concrete, and foams.

Stress–strain curve

In engineering and materials science, a stress–strain curve for a material gives the relationship between stress and strain. It is obtained by gradually applying load to a test coupon and measuring the deformation, from which the stress and strain can be determined (see tensile testing). These curves reveal many of the properties of a material, such as the Young's modulus, the yield strength and the ultimate tensile strength. Generally speaking, curves representing the relationship between stress and strain in any form of deformation can be regarded as stress–strain curves.

Stress–strain analysis

Stress–strain analysis (or stress analysis) is an engineering discipline that uses many methods to determine the stresses and strains in materials and structures subjected to forces. In continuum mechanics, stress is a physical quantity that expresses the internal forces that neighboring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material. In simple terms we can define stress as the force of resistance per unit area, offered by a body against deformation.

Yield (engineering)

In materials science and engineering, the yield point is the point on a stress-strain curve that indicates the limit of elastic behavior and the beginning of plastic behavior. Below the yield point, a material will deform elastically and will return to its original shape when the applied stress is removed. Once the yield point is passed, some fraction of the deformation will be permanent and non-reversible and is known as plastic deformation.

Related lectures (38)

Introduction to Plasticity Models

Introduces idealized material models, yield surfaces, and elastoplasticity concepts, including failure typologies and cyclic responses.

Mechanics of Continuous Media

Explores stress components placement, strain-stress relationship, energy of deformation, material isotropy, and temperature effects.

Mechanical Tests: Creep and Fracture Mechanics

Explores creep tests, deformation, and fracture mechanics in mechanical tests.

Elasticity-Plasticity: Materials Science Fundamentals

Covers elasticity, plasticity, stress-strain relationships, and material behavior under different loading conditions.

Hardening Elasto-Plasticity Log in to Mediaspace to watch this video