Elastic and plastic behaviour of materials pdf

They, like other polymeric materials, exhibit viscoelastic behaviour where, as the name suggests, the material response has both elastic and viscous components. Elasticplastic behaviour in materials loaded with a spherical indenter. Elastic deformation the recovery of the original dimensions of a deformed body when the load is removed is known as elastic deformation. Elastic vs plastic deformation deformation is the effect of change in the shape of a physical object when an external force is applied to the surface. Fema 451b notes inelastic behavior 61 instructional material complementing fema 451, design examples inelastic behaviors 6 1 inelastic behavior of materials and structures this topic introduces the concepts of inelastic behavior, explains why the behavior is expected in seismic response, and shows how the inelastic. Introduction to materials science chapter 6, mechanical properties 18 typical mechanical properties of metals the yield strength and tensile strength vary with prior thermal and mechanical treatment, impurity levels, etc. The most elastic body in modern science found is quartz fiber citation needed and phosphor bronze, but even this is not a perfect elastic body.

The model allows a zero or nonzero elastic tensile stress limit. Chapter outline mechanical properties of metals how do metals. Elastic inelastic we now move from the cross section to the critical region. The elastic behavior of isotropic materials can be defined with just two elastic constants, commonly used parameters being the youngs modulus y and poissons ratio. Evaluating elasticplastic behaviour of rock materials using hoekbrown failure criterion. The two parameters that determine the elasticity of a material are its elastic modulus and its elastic limit. The stressdependent part of the plastic deformation is referred to as slip, and the timedependent partwhich is also influenced by the temperatureas creep. The study of the elastic behavior of a material is of much importance. Also, several aspects of real material behavior, such as plastic anisotropy, elastic hysteresis, and the. This section presents material properties in plastic region. Request pdf evaluating elasticplastic behaviour of rock materials using hoekbrown failure criterion as a matter of fact, the failure criteria only predict failures initiation in materials. Homogenized stresses of the fiber and matrix in a representative volume element rve of a shortfiber or particle reinforced composite are calculated. In contrast, plastic deformation is the nonreversible deformation of solid materials on the application of forces.

Elastic and anelastic behavior of materials in small. The behaviour of a crack in the centre of a plate subject to a farfield stress has been studied where the plate contains an initial residual stress. For most materials, the plastic deformation depends not only upon the maximum value reached by the stress, but also upon the time elapsed before the load is removed. The material has now moved into the region referred to as plastic deformation. Basic principles of elasticity and plasticity plastic range plastic range. Structures and materials section 4 behaviour of materials. The uniaxial tension test is a convenient method to indicate plastic behaviours of a material. Elastic and anelastic behavior of materials in small dimensions volume 27 issue 1 shefford p. Jun 17, 2010 section 4 behaviour of materials the section will cover the behaviour of materials by introducing the stressstrain curve. Elastic or plastic a2levellevelrevision, physics, force.

To overcome the problem of bending under force the elastic behavior of the material used must be considered primarily. The collapse load calculated by plastic analysis is 1. Difference between elastic and plastic deformation compare. The concepts of elastic and plastic deformation will be covered. Elasticity, ability of a deformed material body to return to its original shape and size when the forces causing the deformation are removed. This variability is related to the behavior of dislocations in the material, chapter 7. Defining the volumetric behavior often, the elastic part of the volumetric behavior of porous materials is modeled accurately by assuming that the elastic part of the change in volume of the material is proportional to the logarithm of the pressure stress. Elasticplastic behavior an overview sciencedirect topics.

Evaluating elasticplastic behaviour of rock materials. All materials have an elastic limit beyond which, if continuous stress is applied, they will start losing their ability to exhibit perfect elastic behaviour and start deforming. A high elastic modulus is typical for materials that are hard to deform. Plastic behaviour tensile strength htransition of mechanical behaviour from elastic to plastic depends upon the material type and its condition as tested hotrolled, coldrolled, heat treated, etc. Bauschinger effect cannot be treated easily by plasticity. Pdf effect of plastic deformation on elastic and plastic recovery. Elastic and elasticplastic behaviour of a crack in a residual stress field g. Hookes law for most materials, as long as the load does not exceed the elastic limit, the deformation is proportional to the load. Nov 05, 2018 in this tutorial, we will use abaqus utility and modelled elastic plastic material behavior using engineering stressstrain data. The study of the elastic behaviour of a material is of much importance. It is important to keep in mind that not all elastic materials are linear rubber is.

Most engineering materials in solid mec hanics exhibit elastoplastic b eha viour, in either case a transition to plastic viour m ust o ccur. Plastic behaviour of structural steel unit 4 contents introduction. Predicting and modelling this plastic deformation is the topic of this section. Structral engineering and geomechanics plastic versus elastic design of steel structures sutat leelataviwat, subhash c. Difference between plastic and elastic plastic vs elastic.

Micromechanical prediction of elasticplastic behavior of. The elastic and plastic behaviour of cellular materials. To study the elastic behavior of materials let us consider a beam of length l, breadth b and depth d supported at the ends and loaded at the center by load w. A plastic material is characterised by permanent plastic deformations when after loading the stresses are reduced to zero. Mechanical properties and performance of materials samples of engineering materials are subjected to a wide variety of mechanical tests to measure their strength, elastic constants, and other material properties as well as their performance under a variety of actual use conditions and environments. Materials commonly known as plastics are not plastic in the sense described here. When a load is applied to a material a balancing force is set up within the material, and this internally acting force is termed a stress. Elastic and plastic behavior of materials classical and. Behavior of materials as a function of temperature, orientation of fabric, and strain rate. Almost every engineering design requires knowledge of the elastic behaviour of materials.

The main difference between a plastic body and an elastic body is based on individual their ability to regain their shape and size after an external force is applied to the bodies both, elastic and plastic materials are widely applicable and used in the field of science and technology. In this tutorial, we will use abaqus utility and modelled elastic. Most materials which possess elasticity in practice remain purely elastic only up to very small deformations. The difference between elastic materials and viscoelastic materials is that viscoelastic materials have a viscosity factor and the elastic ones dont. A property of various metals that describes their ability to undergo permanent stains is called plasticity. The simple plastic theory makes use of the ductility of steel. For the most part, in this section, the material will be assumed to be perfectly plastic, that is, there is no work hardening.

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. The rate sensitivity and plastic deformation of nanocrystalline tantalum films at nanoscale. This load is determined by the end constraints, of which four extreme cases are illustrated on the facing page. Therefore a hookean material is linear elastic, and materials engineers use these descriptors interchangeably. Due to their viscosity, their response is, unlike the plastic materials, ratedependent.

Such a material iselastic accordingtothedescription ofelasticity given earlier immediate response,fullrecovery, andit is also linear in its relation between stress and strain or equivalently, force and deformation. Understanding of the elasticplastic behaviour of fibrous composites is. Chapter outline mechanical properties of metals how do. Knowledge of the strength of the materials used in the construction. In practice, it is difficult to identify the exact point at which a material moves from the elastic region to the plastic region. 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. If sufficiently slender, an elastic column, loaded in compression, fails by elastic buckling at a critical load, fcrit. Materials joined using selfpiercing riveting are usually steels sheets and rivets and aluminium alloys. Viscoelasticity is the property of materials that exhibit both viscous and elastic characteristics when undergoing deformation. Specimens are jacketed with weak material copper or plastic. Available formats pdf please select a format to send. In this tutorial, we will use abaqus utility and modelled elastic plastic material behavior using engineering stressstrain data. Defining the volumetric behavior often, the elastic part of the volumetric behavior of porous materials is modeled accurately by assuming that the elastic part of the change in volume of the material is proportional to the logarithm of the pressure stress figure 1.

Pdf the elasticplastic transition of metals researchgate. Plasticity, ability of certain solids to flow or to change shape permanently when subjected to stresses of intermediate magnitude between those producing temporary deformation, or elastic behaviour, and those causing failure of the material, or rupture see yield point. Whats the difference between elastic and plastic deformation. Increasing the temperature, increasing the amount of fluid, lowering the strain rate and, in plastically deforming rocks, reducing the grain size all tend to cause strain weakening. Jan 31, 2011 under certain circumstances, decreasing the dimensions of a material may lead to elastic or anelastic properties that diverge from bulk behavior. Indeed, atomistic simulations7 suggest that grainboundary sliding and grain rotation. Some, like wood and bone, occur in nature, while others, like polymeric foams, are manmade. Goel, shihho chao encyclopedia of life support systems eolss central to the idea of all plastic analysis methods is an implicit assumption that the structure being analyzed is made from ductile materials. It is mainly connected with the micromechanical damages in composite structures, particularly with the effects of matrix cracking modeled in the form of elastic plastic physical relations. Elastic materials strain when stretched and immediately return to their original state once the stress is removed.

A distinction is made between elastic deformation, for which bond rearrangements are not required, and anelastic behavior, which involves reversible deformation due to defect motion. 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. Mechanical properties refers to the behavior of material when external forces are applied. A material is elastic or it is not, one material cannot be more elastic than another, and a material can be elastic without obeying the. Viscous materials, like water, resist shear flow and strain linearly with time when a stress is applied.

Elastic deformation holds a linear relationship with stress, while plastic deformation holds a curved relationship having a peak. 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. Under limited plastic deformation, these materials exhibit an elasticplastic behaviour that can be represented using the set of equations presented below. The total strain in any point of a plastic material is the sum of the reversible elastic and the irreversible plastic strain. Because of their cellular structure, they have unusual mechanical properties. For a perfect plastic material the stress cannot rise. However, it does not necessarily follow that all materials which behave elastically will have a linear. Plastic deformation phenomena, such as plate sliding occurs due to the total fission of the bonds. Because viscoelastic materials have the viscosity factor, they have a strain rate dependent on time. Under limited plastic deformation, these materials exhibit an elastic plastic behaviour that can be represented using the set of equations presented below. This method of design limits the structural usefulness of the material upto a certain allowable. Reserve strength plastic analysis can give economical solutions. As shown in the figure below, a parallel line offset by 0. The behaviour of a material subjected to a tensile pulling or compressive pushing force can be described as either elastic or plastic.

For a perfect plastic material the stress cannot rise above the yield stress and strain can continue to accumulate without any change is stress. The difference between elastic materials and viscoelastic. A body with this ability is said to behave or respond elastically. Plastic analysis version ii 35 1 plastic analysis 1. Difference between elastic and plastic deformation. Illustrates inelastic behavior of materials and structures. The traditional analysis of structures is based on the linear elastic behaviour of materials, implying that the material follows hookes law. In the construction of various structures like bridges, columns, pillars, beams, etc. The experimental results discussed in the paper demonstrate the physical nonlinear behaviour both for unidirectional and woven roving composites. Thus, it is easier to understand these properties in terms of physics. In general, elastic constants increase with longrange order, although cuau shows anomalous behavior in transforming from cuau i to cuau ii. Jul 20, 2011 in elastic deformation the bonds between molecules or atoms stay intact, but only change their lengths. Section 4 behaviour of materials the section will cover the behaviour of materials by introducing the stressstrain curve.

Elastic and elasticplastic behaviour of a crack in a. Almost every engineering design requires knowledge of the elastic behavior of materials. Mechanical properties of metals western university. For the most part, in this section, the material will be assumed to be perfectly plastic, that is, there. Topic 06 inelastic behavior of materials and structures. Plasticity ct 4150 the plastic behaviour and the calculation. Mechanical properties of metals outline introduction concepts of stress and strain elastic deformation stressstrain behavior elastic properties of materials plastic deformation yield and yield strength ductility resilience toughness concepts of. To a greater or lesser extent, most solid materials exhibit elastic behaviour, but there. E youngs modulus e extension onedimensional strain. Evaluating elasticplastic behaviour of rock materials using. When an elastic not elastomeric, or long range elastic material.

1619 1459 595 119 1033 404 1499 297 796 1390 1084 1609 469 1025 896 364 1172 1629 164 515 489 768 768 540 1537 930 164 931 788 1425 1116 1198 612 1242 1021 70 1471 879