3-Point Bending of Bars and Rods Made of Materials Obeying a Ramberg-Osgood Criterion

Abstract

Equations are derived for the non-linear bending of cantilever and 3-point bending of beams (with a non uniform moment distribution along its length) made of materials described according to Ramberg-Osgood behaviour (including and elastic and a plastic term with a hardening exponent). Moment for plastic collapse is also computed

Fracture Toughness Evaluation of AA3003 Aluminum Alloy through Alternative Experimental Methods and Finite Element Technique

“…14. The Plane strain fracture toughness value was assessed by substituting the values in Eqs. (7) and (8) and was found to be 134.15 MPa√m which is very close to the experiment value of 134.469 MPa√m…”

“…where P is the peak load attained at the time of breakage, B is the width of the specimen, W is the thickness of the specimen, a is the crack length which is equal to 1 mm and y is the function of (a/w) which is given in Eq. (8): On substituting the values in the above equations (7) and (8) the KIC value obtained was 134.469 MPa√m which were interestingly close to the value obtained from ball indentation test.…”

“…In this work, an attempt is made to simulate ball indentation process by performing contact analysis between the indenter and specimen. For this purpose of simulation elastic-plastic material behavior, a smooth stressstrain curve was generated using Ramberg-Osgood relation given by [7].…”

“…The results were also compared with Hertzian analytical solution for elastic contact. Derived equations for non-linear bending of cantilever and 3-point bending of beams which obeys the Ramberg-Osgood behavior [7]. Standard mathematical relations were adopted to analyze the bending moment and bending stress and the same is correlated to toughness of the material.…”

Analysis of Rectangular and Circular Cross-section Power Hardening Elements Under Pure Bending

“…The authors include many experimental verifications as well as theoretical results. Elastic-p lastic analysis of beam-like structures of different cross-sections under bending is considered in [2][3][4][5][6][7][8][9][10]. The authors employ different models of non-linear stress-strain idealization.…”