Elastic and plastic behaviour of materials pdf free

This region is that part of the element over which significant inelastic behavior is expected to occur. Reverse loadings into the plastic range, therefore, are seldom allowed, and only under carefully controlled conditions. The exponent druckerprager is a more complex elastic plastic model, which is better able to describe behaviour under stress states in which there is a high component of hydrostatic tension. They describe the attributes of materials such as rubber, plastic, metal, etc.

Elastic and anelastic behavior of materials in small. This permanent deformation behavior occurs when the tensile or compressive uniaxial stress reaches y. They, like other polymeric materials, exhibit viscoelastic behaviour where, as the name suggests, the material response has both elastic and viscous components. Plastic analysis version ii 35 1 plastic analysis 1. Chapter outline mechanical properties of metals how do. Figure 27 represents an elemental free body similar to that shown in fig. Due to their viscosity, their response is, unlike the plastic materials, ratedependent. Elastic and anelastic behavior of materials in small dimensions volume 27 issue 1 shefford p.

The elasticplastic transition of metals article pdf available in international journal of plasticity 83 april 2016 with 1,466 reads how we measure reads. The elastic deformation of a solid is a reversible process, when the applied stress is removed the solid returns to its original state. One of the most important subjects for any student of engineering or materials to master is the behaviour of materials and structures under load. When a sufficient load is applied to a metal or other structural material, it will cause the material to change shape. Whats the difference between elastic and plastic deformation. Materials commonly known as plastics are not plastic in the sense described here. In fact solid polymers show a combination of elastic and viscous behaviour known as viscoelasticity. Elasticity is the ability of a body to resist any permanent changes to it when stress is applied. Find materials for this course in the pages linked along the left. Engineering and manufacturing elasticity research elasticity mechanics failure mode and. Evaluating elasticplastic behaviour of rock materials using hoekbrown failure criterion.

To a greater or lesser extent, most solid materials exhibit elastic behaviour, but there. The book presents articles on the low temperature of deformation of bcc metals and their solidsolution alloys. If the material is elastic, the object will return to its initial shape and size when these forces are removed. In the 1600s, a scientist called robert hooke discovered a law for elastic materials.

The difference between elastic materials and viscoelastic. Solid objects will deform when adequate forces are applied to them. Manual for the calculation of elasticplastic materials. Structures and materials section 4 behaviour of materials. All three of these factors favour elastic rather than plastic behaviour. Difference between plastic and elastic plastic vs elastic. The idea of this part of the virtual education in rubber technology course is to give students an extensive overview of elastomeric materials. An introduction to mechanics of elastic and plastic deformation of. Elasticity, ability of a deformed material body to return to its original shape and size when the forces causing the deformation are removed. The hookes law states that for the elastic range of the material, applied stress is equal to the product of the youngs modulus and the strain of the material. Mechanical properties refers to the behavior of material when external forces. Elastic and plastic behavior the recovery of the original dimensions of a deformed body when the load is removed is known as.

Evaluating elasticplastic behaviour of rock materials. The two parameters that determine the elasticity of a material are its elastic modulus and its elastic limit. A temporary shape change that is selfreversing after the force is removed, so that the object returns to its original shape, is called elastic deformation. Elasticplastic behavior an overview sciencedirect topics. The study of the elastic behaviour of a material is of much importance. The degree of viscoelasticity is strongly dependent upon the temperature of test and the rate at which the polymer is deformed, as well as such structural variables. Apply a freebody analysis on each component to determine the. Almost every engineering design requires knowledge of the elastic behavior of materials. Plastic behaviour is sometimes called inelastic behaviour. The traditional analysis of structures is based on the linear elastic behaviour of materials, implying that the material follows hookes law. For a perfect plastic material the stress cannot rise above the yield stress and strain can continue to accumulate without any change is stress. Therefore a hookean material is linear elastic, and materials engineers use these descriptors interchangeably. This permanent deformation behavior occurs when the tensile or compressive uniaxial stress reaches s y.

This variability is related to the behavior of dislocations in the material, chapter 7. From material to cross section to critical region to structure. In physics and materials science, plasticity, also known as plastic deformation, is the ability of a solid material to undergo permanent deformation, a nonreversible change of shape in response to applied forces. Generally, the terms plastic and elastic are, physical properties, used to describe an object. Difference between elastic and plastic deformation. Elastic behavior versus viscoelastic behavior the difference between elastic materials and viscoelastic materials is that viscoelastic materials have a viscosity factor and the elastic ones dont. 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.

Different materials show different elastic behaviour. The concepts of elastic and plastic deformation will be covered. A balanced mechanics materials approach and coverage of the latest developments in biomaterials and electronic materials, the new edition of this popular text is the most thorough and modern book available for upperlevel undergraduate courses on the. This method of design limits the structural usefulness of the material upto a certain allowable. A plastic or inelastic material is one that stays deformed after you have taken the. The uniaxial tension test is a convenient method to indicate plastic behaviours of a. Different materials show different elastic behavior. Mechanical behavior of materials materials science and. Thus, the plasticity index is a good indicator of the relative amounts of elastic and plastic deformation. Plastic deformation of materials covers the fundamental properties and characterization of materials, ranging from simple solids to complex heterophase systems. Basic principles of elasticity and plasticity plastic range plastic range. The behaviour of a material subjected to a tensile pulling or compressive pushing force can be described as either elastic or plastic a material is elastic if it returns to its original shape and size when the force is removed.

This difference in the behaviour of the material is based on their elastic and plastic nature. Such situations occur in the strengthening of damaged. To minimize deformation, select a material with a large elastic modulus e or g. In practice, it is difficult to identify the exact point at which a material moves from the elastic region to the plastic region. As shown in the figure below, a parallel line offset by 0. Elastic deformation the recovery of the original dimensions of a deformed body when the load is removed is known as elastic deformation. A high elastic modulus is typical for materials that are hard to deform. This chapter is concerned with deformation of a structural member under axial. At the same time, incorporating fibres into metal or ceramic matrix yields a material with new elasticplastic properties. The structure and characteristics of most typical rubber and thermoplastic elastomers will be. Check out for more free engineering tutorials and math lessons. In physics, when an external force is applied to the surface of any material or a body, the material undergoes a.

Class 11 physics applications of elastic behaviour of. The taylor impact behavior of the model hyperelastic rubbery and elasticplastic glassy polymers was examined in terms of energy dissipation and resilience features of. Effect of defects on elastic plastic behavior of cellular materials. In the first part of this lesson, we work through a hierarchy of behavior from material, to crosssection, to critical region, and, finally, to the entire structure. An elastic material is one that will return to its original shape when the force applied to it is taken away. Report by journal of civil engineering and management. The stress strain curve can be represented by an ideal elasto plastic material with properties of steel in compression and tension same. Predicting and modelling this plastic deformation is the topic of this section. For contact under normal load only, it has been shown by a recent finite element analysis kogut and etsion, 2003 that. For engineering purposes the limit of usable elastic behavior is described by the. When stress application ceases, the body regains its original shape and size.

But elastic moduli are relatively insensitive to these effects. Plastic strain is the permanent change in shape or size of a body without fracture, accumulated over time by a sustained stress beyond the elastic limit yield point of the material. The section will cover the behaviour of materials by introducing the stressstrain curve. Understanding of the elasticplastic behaviour of fibrous composites is important from the. For a perfect plastic material the stress cannot rise above the yield stress and strain can continue to accumulate without any change is. Class 11 physics applications of elastic behaviour of materials mbd alchemie. Elastic properties of materials most materials will get narrow when stretched and thicken when compressed this behaviour is qualified by poissons ratio, which is defined as the ratio of lateral and axial strain z y z poisson s ratio x. The study of the elastic behavior of a material is of much importance. We will cover elastic and plastic deformation, creep, and fracture of materials including crystalline and amorphous metals, ceramics, and biopolymers, and will focus on the design and processing of materials from the atomic to the macroscale to achieve desired mechanical behavior. If the material is a metal, the deformation remains elastic up to a certain.

This reversible behavior often shows a linear relation between stress and strain. Stressstrain behavior elastic plastic stress strain elastic deformation reversible. Idealized inelastic behavior to critical region and member. The limiting load beyond which the material no longer behaves elastically is the. The taylor impact behavior of the model hyperelastic rubbery and elasticplastic glassy polymers was examined in terms of energy dissipation and resilience features of the materials under extreme strain rates. Pdf effect of defects on elasticplastic behavior of.

In the construction of various structures like bridges, columns, pillars, beams, etc. Because viscoelastic materials have the viscosity factor, they have a strain rate dependent on time. The material has now moved into the region referred to as plastic deformation. In this slide, the critical region coincides with the flexural plastic hinging of a beam. E youngs modulus e extension onedimensional strain. Topic 06 inelastic behavior of materials and structures. For example, the deflection at the free end of a cantilever carrying an endpointload is. It is important to keep in mind that not all elastic materials are linear rubber is. Elasticity is the ability of a body to resist any permanent change to it when stress is applied.

For the most part, in this section, the material will be assumed to be perfectly plastic, that is, there is no work hardening. A property of various metals that describes their ability to undergo permanent stains is called plasticity. A body with this ability is said to behave or respond elastically. Even a concrete floor changes shape as you walk across it. This will then lead to a discussion of the microstructure of materials and a physical explanation of what is happening to a polycrystalline material as it is loaded to failure. Mechanical properties of metals western university.