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Stress-strain curve - Wikipedia, the free encyclopedia A stress-strain curve is a graph derived from measuring load (stress - σ) versus extension (strain - ε) for a sample of a material. The area underneath the stress-strain curve is the toughness of the material- i.e. On an engineering stress-strain curve this is seen as a decrease in the stress. en.wikipedia.org /wiki/Stress-strain_curve   (427 words)

Tensile strength - Wikipedia, the free encyclopedia Necking is accompanied by a region of decreasing stress with increasing strain on the stress-strain curve. The yield strength at 0.2% offset is determined by finding the intersection of the stress-strain curve with a line parallel to the initial slope of the curve and which intercepts the abscissa at 0.002. Stress vs. Strain curve typical of structural steel. en.wikipedia.org /wiki/Tensile_strength   (1048 words)

Tensile Properties The offset yield strength is the stress corresponding to the intersection of the stress-strain curve and a line parallel to the elastic part of the curve offset by a specified strain (in the US the offset is typically 0.2% for metals and 2% for plastics). It is obtained by observing the deviation from the straight-line portion of the stress-strain curve. Strains that result from an increase in length are designated as positive (+) and those that result in a decrease in length are designated as negative (-). www.ndt-ed.org /EducationResources/CommunityCollege/Materials/Mechanical/Tensile.htm   (1988 words)

Strand7 Web notes Most stress strain tables are defined in the positive stress strain quadrant only and the same curve is assumed to apply to behaviour in tension and compression. The stress is monitored at each layer and the appropriate modulus, from the stress strain curve, is used for each layer. In order to consider the effect of this stress variation on the modulus of the material at the different planes throughout the thickness, the element is considered to be constructed of a number of layers. www.strand7.com /html/Webnotes/Nonlinear_Mat.htm   (770 words)

Tensile-Strength Tests The ultimate strength is represented b y the maximum ordinate to the stress-strain curve at C. The stress-strain diagram for steel in compression is essentially similar to the curve as described for tension, and the elastic limit is approximately the same in both cases. If the stress at all loads was computed upon the basis of the actual section then existing, instead of being computed (as it usually is) upon the basis of the original section, the stress-strain curve would follow such a course as is indicated by the dotted-line curve 3 of Figure 1. The yield point B is easily detected either by making a test or from the stress-strain diagram were a more or less sharp break appears in the curve when the yield point is reached. www.prep.mcneese.edu /engr/engr316/tentest/tentest.htm   (1111 words)

Untitled Document Stress (engineering): load (force) per unit area; the normal (axial) stress is determined by dividing the load by the original cross-sectional area of the specimen. Yield stress: the stress at which the material begins to “yield”; for mild steel there is a noticeable increase in deformation with little increase in load. Elongation: the strain at fracture expressed as a percentage; this is a measure of the ductility of the material. civilx.unm.edu /laboratories_ss/mechmat/tensilesteel.html   (681 words)

Lecture 24: Stress-Strain Curves Strain increases faster than stress at all points on the curve beyond point A. Up to this point, any steel speciment that is loaded and unloaded would return to its original length. The relationship between the stress and strain that a material displays is known as a Stress-Strain curve. Since the stress resistence of the material decreases after the peak of the curve, this is also known as the yield point. darkwing.uoregon.edu /~struct/courseware/461/461_lectures/461_lecture24/461_lecture24.html   (766 words)

Strain and Stress - Tutorial - Developer Zone - National Instruments To facilitate a proper analytical treatment of the subject, stress and strain are carefully denned to emphasize the physical properties of the material being stressed and the specific type of stress applied. If a specific sample is exposed to a range of applied stress and the resulting strain is measured, a graph similar to Figure 5.14 resulls. Although strain is a unitless quantity, it is common practice to express the strain as the ratio of two length units, for example, as m/m or in/in; also, because the strain is usually a very small number, a micro zone.ni.com /devzone/conceptd.nsf/webmain/37A8A85371255EC9862568F7005AEE1B?opendocument&node=dz00000_us   (816 words)

True Stress and True strain Engineering stress and strain measures are distinguished by the use of fixed reference quantities, typically the original cross-sectional area or original length. As the strain becomes large and the cross-sectional area of the specimen decreases, the true stress can be much larger than the engineering stress. Engineering stress and strain measures incorporate fixed reference quantities. www.shodor.org /~jingersoll/weave/tutorial/node3.html   (595 words)

UWEB :: Research : Biomaterials Tutorial Young’s modulus (E), the slope of the elastic portion of the stress-strain curve, is a quantity often used to asses a material’s stiffness. The strain behavior of the anterior cruciate ligament during squatting and active flexion-extension. Direct measurement of strain in the posterolateral bundle of the anterior cruciate ligament. www.uweb.engr.washington.edu /research/tutorials/mechproperties.html   (1126 words)

Assignment # 3 Using the same scale for stress, we note that the tensile true stress – true strain curve is higher than the engineering stress – strain curve. In a tension test, the area under the true stress–true strain curve is the work done per unit volume (specific work). Show that according to the distortion-energy criterion, the yield stress in plane strain is 1.15Y where Y is the uniaxial yield stress of the material. people.bu.edu /upal/MN46503ASSGN3.htm   (531 words)

Structure, Function and Adaptation of Blood Vessels Although he did not report changes in tissue structure in the text, he noted profound changes in the nonlinear stress strain curve and the material constants in the strain energy function for the diabetic rats, with their aorta becoming stiffer, as shown below: In that case, the blood vessel is often described as a cylinder, with stress and strain represented using cylindrical coordinates. We use the 2nd Piola-Kirchoff stress tensor and Green-Lagrange strain tensor to represent the stress and strain in the blood vessel, respectively. www.engin.umich.edu /class/bme456/bloodves/bloodves.htm   (1839 words)

Stress and Strain Finally, we mention that the stress versus strain curve is not necessarily the same during the relaxation of stress as it was during the loading (application) of the stress. Note that strain may be tensile, compressive or torsional; in general, the stress versus strain curve will differ for each material, and for each type of stress. This phenomenon is called "hysteresis", and the ratio of the area under the relaxation curve to that under the loading curve (for a given strain) is called the "resiliance" (usually expressed as a percentage). www.rwc.uc.edu /koehler/biophys/2f.html   (800 words)

Stress-Strain Curve Generation Homogeneous strain state during the pre-peak deformation and sudden strain localization at the peak stress state are assumed. The proposed functional stress-strain relation is a linear combination of hyperbolas, and therefore the condition of zero slope at finite strains (peak stress or failure) is not satisfied. Therefore, alternative functions for describing typical shear stress-strain behavior of soil materials have been proposed. www.cee.princeton.edu /~radu/papers/const/node12.html   (546 words)

3.1 Axial Strain Young's Modulus is simply the slope of the linear region of the stress-strain curve. Values of E for different materials are obtained experimentally from stress-strain curves. Strain is a non-dimensional length - a fraction. www.engineering.ucsb.edu /~me15web/3_stress/text_3-1.htm   (350 words)

DoITPoMS TLP - Elasticity in Biological Materials - J-shaped curves Since the J-shaped curve is concave, the area under the curve up to a given extension is far lower than that for the equivalent Hookean curve meaning that the energy released in the fracture of a material with a J-shaped stress-strain curve is far lower than the energy released when an equivalent Hookean material fails. This can occur by the progressive alignment of polymer chains with the stress, and indeed, the stress-strain curve of a rubber is (at higher extensions) J-shaped. At low strains, both collagen and tendon show J-shaped curves, in fact, the toughness of raw meat is due to the presence of collagen fibres within the meat. www.doitpoms.ac.uk /tlplib/bioelasticity/j-shaped-curves.php   (717 words)

Biomechanics - Constitutive Laws When the relationship changes and the curve is no longer straight, as in the second part of the stress/strain curve, the material becomes plastic and Hooke’s law does not apply (i.e.: the material does not return to its unloaded dimensions and may fracture). Since the only variable in the test is time, it is evident that the stress—strain curve for soft tissue is time dependent. In our tensile specimen, for example, the stresses at the ends of the specimen depend upon the nature of the application of the stretching force while the strain depends upon the material. www.e-sunbear.com /biomech_05.html   (1552 words)

Mechanical Properties Tensile, or Young's modulus, is the ratio of stress to strain within the elastic region of the stress-strain curve (prior to the yield point). This is the point on the stress-strain curve (for a material involving both elastic and viscous components) where deviation from the linear relationship occurs. Elongation at yield is the strain that the material undergoes at the yield point, or the percent change in length that occurs while the material is stressed to its yield point. www.dow.com /sal/design/guide/mechanical.htm   (641 words)

Curves This is because at temperatures lower than the recrystallization temperature, strain hardening is pronounced and flow stress for most metals is not affected by the strain rate (there are some exceptions, for example lead is strain rate dependent at room temperature). Conversely, at room temperature (i.e., in cold forming) the effect of strain rate on flow stress is negligible, and the effect of strain on flow stress is important. In hot forming of metals, at temperatures above the recrystallization temperature, the influence of strain on flow stress is insignificant, and the influence of strain rate (i.e., rate of deformation) becomes increasingly important. nsmwww.eng.ohio-state.edu /FlowStressModule/Curves/curves.html   (680 words)

True Stress - True Strain Curve The engineering stress-strain curve does not give a true indication of the deformation characteristics of a metal because it is based entirely on the original dimensions of the specimen, and these dimensions change continuously during the test. This stress should be corrected for the, triaxial state of stress existing in the tensile specimen at fracture. The uniform strain is often useful in estimating the formability of metals from the results of a tension test. www.key-to-steel.com /articles/art42.htm   (1442 words)

Construction of True Stress-True Strain Curve (d) True stress-true strain curve plotted on log-log paper and based on the corrected curve in Fig. (c) True stress-true strain curve, drawn from the data in Fig. Note that this curve has a positive slope, indicating that the material is becoming stronger as it is strained. www.nd.edu /~manufact/ch02/tsld008.htm   (90 words)

3221_HW4_Hints.doc Hints: (25%) The modulus of elasticity is the slope of the stress-strain curve, which is a straight line, in the elastic region. If this portion of the stress-strain curve is large relative to the elastic portion of the curve, it is a ductile material. (50%) The strain energy per unit volume at the elastic limit is the area under the stress-strain curve up to the elastic limit. www.me.wustl.edu /courses/me322a/3221_HW4_Hints.doc   (847 words)

A23 Proportional limit is the point along the stress-strain curve when the curve starts deviating from the straight line part. The point where the drawn line intercepts the stress-strain curve is called the 0.005 off-set yield strength. Elastic limit is the limit along the stress-strain curve when the tested sample starts deforming permannnently. nersp.nerdc.ufl.edu /~soderho/a23.htm   (254 words)

Constitutive Properties of other Soft Tissues When modeling muscle as a nonlinear material with active stress generation potential, a common approach is write the strain energy function in two parts: 1) a part representing passive tissue properties and 2) a part representing active force generation. In the active strain energy function Wa, the normal strains are used as a scaling factor to represent alignment and stiffening of muscle fibers with increasing strain. It is imporant to note that the strain energy function above is written for the myocardial trabeculated microstructure. www.engin.umich.edu /class/bme456/othersoft/othersoft.htm   (1982 words)

cognitive outline for mental process Given a diagram of a stress strain curve twelfth grade students will know the different components of the curve then will be given a test to see the retention. Handout with the stress strain curve, chalkboard, and chalk. You have learned the four different components of the stress strain curve. www.bsu.edu /web/rshowerton/ITEDU395/cognitivementalprocess.htm   (335 words)

Data Tables - Implicit Analysis At the specified yield stress, the curve continues along the second slope defined by the tangent modulus (having the same units as the elastic modulus). The swelling strain rate may be a function of temperature, time, neutron flux level, and stress. The creep strain rate is evaluated at the condition corresponding to the beginning of the time interval and is assumed to remain constant over the time interval. bubble.me.udel.edu /wang/teaching/MEx81/ansyshelp/Hlp_E_CH2_5.html   (8290 words)

Stress Strain Curve The stiffness E' is the gradient of the stress-strain curve. A stress-strain curve is a graph derived from measuring load (stress) versus extension (strain) for a sample of a material. This is usually found from the slope of the stress vs. strain curve. www.wrightsbestin1.info /stress-strain-curve.html   (353 words)

Figure 3   Typical Ductile Material Stress-Strain Curve are strain for the x-axis or scale of abscissae, and stress for the y-axis or scale of ordinates. are not true stress and strain, which can be computed on the basis of the area and the gage length Stress and strain, as computed here, are sometimes called "engineering stress and strain."  They www.tpub.com /content/doe/h1017v1/css/h1017v1_69.htm   (264 words)

Tensile Stress-Strain Behavior The secant modulus ES is defined — using Hooke's Law — as the ratio of stress to strain, or the slope of a line drawn from the origin to a point on the stress-strain curve corresponding to the particular strain, typically between 0.2 and 7.0% for plastics. The toughness of a thermoplastic is quantified by determining the area under the material's stress-strain curve. The stress-strain curve of a typical unfilled thermoplastic, at normal loading rates and temperatures, is curvilinear. www.dow.com /sal/design/guide/tensile.htm   (469 words)

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