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Book Chapter

Stress-Strain Behavior in Bending

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By P. Dadras
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003262
EISBN: 978-1-62708-176-4
.... This article discusses the stress-strain relationships, strain curvature, and stress-moment equations for elastic, noncylindrical, elastic-plastic, and pure plastic bending conditions. It also reviews the distribution of residual stress and springback. stress-strain behavior bending deformation strain...
Abstract
A characteristic feature of bending is the inhomogeneous (nonuniform) nature of the deformation. Therefore, in a bent specimen, the strain and stress at a given point are dependent on the location of the point with respect to the neutral axis of the cross-sectional area of the specimen. This article discusses the stress-strain relationships, strain curvature, and stress-moment equations for elastic, noncylindrical, elastic-plastic, and pure plastic bending conditions. It also reviews the distribution of residual stress and springback.
View PDF for content titled, <span class="search-highlight">Stress</span>-<span class="search-highlight">Strain</span> <span class="search-highlight">Behavior</span> in Bending
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Stress-strain behavior of polycarbonate as a function of strain rate, ...

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in Impact Loading and Testing > Characterization and Failure Analysis of Plastics
Published: 15 May 2022
Fig. 1 Stress-strain behavior of polycarbonate as a function of strain rate, ε ̇ , at 22.2 °C (72 °F). (Note: For small strains, extension, e , is approximately equal to engineering strain, ε.) More
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Stress-strain behavior of polyether-imide as a function of strain rate, ...

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in Impact Loading and Testing > Characterization and Failure Analysis of Plastics
Published: 15 May 2022
Fig. 3 Stress-strain behavior of polyether-imide as a function of strain rate, ε ̇ , at 22.2 °C (72 °F). (Note: For small strains, extension, e , is approximately equal to engineering strain, ε.) More
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Comparison of the conventional stress-strain behavior of a low-carbon steel...

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in Analysis of Distortion and Deformation > Failure Analysis and Prevention
Published: 01 January 2002
Fig. 1 Comparison of the conventional stress-strain behavior of a low-carbon steel, a strain-hardening material, and the idealized material assumed in limit analysis. All have the same yield strength. More
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Isochronous plot of polycarbonate stress-strain behavior as a function of t...

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in Fracture of Plastics > Failure Analysis and Prevention
Published: 01 January 2002
Fig. 7 Isochronous plot of polycarbonate stress-strain behavior as a function of temperature. Note that the crazing locus decreases in strain value with increasing temperature. (a) 23 °C (73.5 °F). Relative humidity, 50%. (b) 40 °C (104 °F). (c) 80 °C (176 °F). (d) 100 °C (212 °F). Courtesy More
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Effect of thin brittle film on stress-strain behavior of high density polye...

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in Effect of Environment on the Performance of Plastics > Failure Analysis and Prevention
Published: 01 January 2002
Fig. 2 Effect of thin brittle film on stress-strain behavior of high density polyethylene. Source: Ref 16 More
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Idealized stress-strain behavior under total constraint

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in Thermal and Thermomechanical Fatigue of Structural Alloys > Fatigue and Fracture
Published: 01 January 1996
Fig. 1 Idealized stress-strain behavior under total constraint More
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Monotonic and cyclic stress-strain behavior of representative ferrous alloy...

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in Fatigue Resistance and Microstructure of Ferrous Alloys > Fatigue and Fracture
Published: 01 January 1996
Fig. 1 Monotonic and cyclic stress-strain behavior of representative ferrous alloys More
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Effective (von Mises) stress-strain behavior for a 150 μm (6 mils) thick si...

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in Mechanical Properties of Soft-Interlayer Solid-State Welds[1] > Welding Fundamentals and Processes
Published: 31 October 2011
Fig. 8 Effective (von Mises) stress-strain behavior for a 150 μm (6 mils) thick silver interlayer ( t / d = 0.024), cated using planar-magnetron (PM) sputter deposition, tested in torsion, along with results reported for bulk polycrystalline (annealed) silver More
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Monotonic tensile and cyclic stress-strain behavior of comparable cast and ...

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in Steel Castings Properties > Casting
Published: 01 December 2008
Fig. 18 Monotonic tensile and cyclic stress-strain behavior of comparable cast and wrought normalized-and-tempered carbon steels More
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Effect of tempering 1 h at 200 °C (390 °F) on the stress-strain behavior of...

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in Dual-Phase Steels > Properties and Selection: Irons, Steels, and High-Performance Alloys
Published: 01 January 1990
Fig. 15 Effect of tempering 1 h at 200 °C (390 °F) on the stress-strain behavior of 0.06 and 0.20% C steels containing 1.5% Mn with variation percentages of martensite. Source: Ref 15 More
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Comparison of the conventional stress-strain behavior of a low-carbon steel...

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in Analysis of Distortion and Deformation[1] > Failure Analysis and Prevention
Published: 15 January 2021
Fig. 1 Comparison of the conventional stress-strain behavior of a low-carbon steel, a strain-hardening material, and the idealized material assumed in limit analysis. All have the same yield strength. More
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Isochronous creep plot of polycarbonate stress–strain behavior as a functio...

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in Fracture of Plastics > Characterization and Failure Analysis of Plastics
Published: 15 May 2022
Fig. 8 Isochronous creep plot of polycarbonate stress–strain behavior as a function of temperature. Note that the crazing locus decreases in strain value with increasing temperature. (a) 23 °C (73.5 °F). Relative humidity, 50%. (b) 40 °C (104 °F). (c) 80 °C (176 °F). (d) 100 °C (212 °F More
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Stress-strain behavior of five different types of polymers

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in Surface Examination and Analysis of Plastics > Characterization and Failure Analysis of Plastics
Published: 15 May 2022
Fig. 12 Stress-strain behavior of five different types of polymers More
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Effect of thin brittle film on stress-strain behavior of high-density polye...

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in Effect of Environment on the Performance of Plastics > Characterization and Failure Analysis of Plastics
Published: 15 May 2022
Fig. 2 Effect of thin brittle film on stress-strain behavior of high-density polyethylene. Source: Ref 20 More
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Thermoset versus thermoplastic stress-strain behavior

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in Mechanical Testing and Properties of Plastics—An Introduction > Characterization and Failure Analysis of Plastics
Published: 15 May 2022
Fig. 5 Thermoset versus thermoplastic stress-strain behavior More
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Stress-strain behavior of a synthetic fluorine-containing resin for high an...

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in Creep, Stress Relaxation, and Yielding Mechanisms > Characterization and Failure Analysis of Plastics
Published: 15 May 2022
Fig. 11 Stress-strain behavior of a synthetic fluorine-containing resin for high and low crystallinity at various temperatures. Source: Ref 63 More
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Stress-strain behavior of polybutylene terephthalate as a function of strai...

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in Impact Loading and Testing > Characterization and Failure Analysis of Plastics
Published: 15 May 2022
Fig. 5 Stress-strain behavior of polybutylene terephthalate as a function of strain rate, ε ̇ , at 22.2 °C (72 °F). (Note: For small strains, extension, e , is approximately equal to engineering strain, ε.) More
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Characteristic stress-strain behavior for a hard and brittle plastic (curve...

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in Guide to Materials Selection > Engineered Materials Handbook Desk Edition
Published: 01 November 1995
Fig. 7 Characteristic stress-strain behavior for a hard and brittle plastic (curve A), a ductile and tough plastic (curve B), and a highly elastic, or elastomeric, plastic (curve C) More
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The influence of temperature on the stress-strain behavior of polymethyl me...

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in Guide to Materials Selection > Engineered Materials Handbook Desk Edition
Published: 01 November 1995
Fig. 8 The influence of temperature on the stress-strain behavior of polymethyl methacrylate. Source: Ref 5 More