How is plastic behaviour in metals simulated and used in practical engineering applications?
What are potential difficulties and challenges in modelling plasticity problems using FE software?
What are the potential errors and limitations of the FE plasticity solutions?
The course covers plasticity theories that are widely used to analyse practical engineering applications in metals. Mathematical formulations and equations are intentionally kept to a minimum. Emphasis will be placed on how engineering design incorporates these theories and how the FE method models plasticity. Difficulties encountered by both the FE user and the FE software in modelling plasticity will be highlighted using many examples to demonstrate plastic behaviour and how to assess the accuracy of the FE solutions.
This is a 3-session online training course, with each session lasting for approximately 2 hours, depending on homework submissions, questions & discussions.
You can attend the sessions live, and/or stream on demand. When you register you will get access to a dedicated course forum where you can contact the tutor with questions, submit homework, download pdfs of course notes and access all session recordings. To get the most out of the course, participation in forum discussions is encouraged.
Questions? Contact us on email@example.com
Self-test questions (optional homework)- Questions to reinforce the topics covered in the lectures
Solutions to self-test questions (Full solutions highlighting the key aspects)
More Self-test questions (optional homework)
Solutions to more self-test questions
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|PLASkn1||For a beam under pure bending sketch the developing stress distribution from first yield, to collapse.|
|PLASkn2||For a simple steel thick cylinder or sphere under internal pressure, state the location of first yield.|
|PLASkn7||Sketch a stress-strain curve for an elastic-perfectly plastic and bi-linear hardening material showing elastic and plastic moduli.|
|PLASco1||Discuss salient features of the inelastic response of metals.|
|PLASco2||Explain the terms Isotropic Hardening, Kinematic Hardening and Rate Independency.|
|PLASco3||Discuss the role of the Hydrostatic and Deviatoric Stress Components in yield criteria for isotropic, polycrystalline solids.|
|PLASco7||Explain the phenomenon of Shakedown and define the term Shakedown Load.|
|PLASco8||Contrast the terms Ratchetting and Low Cycle Fatigue.|
|PLASco11||Explain how plastic effects in a Finite Element system are commonly handled as a series of incremental iterative linear analyses|
|PLASco12||Explain, in general terms, the function of the Mises Flow Rule or Prandtl-Reuss Equations, used in a finite element solver.|
|PLASco13||Outline how the cumulative and incremental displacements, total strains, elastic strains, elastic stresses and plastic strains are related in the finite element method|
|PLASco14||Illustrate typical examples of Local Plastic Deformation and Gross Plastic Deformation.|
|PLASco16||Explain the significance of a Hysteresis Loop in a load/deflection test.|
|PLASco23||Describe the Bauschinger Effect.|
|PLASco27||Explain the process of Stress Redistribution.|
|PLASco28||Describe the process and common purpose of Autofrettage.|
|PLASap4||Use FEA to illustrate Shakedown for a range of components/structures and actions.|
|PLASap5||Use FEA to determine the presence of ratchetting for a range of components and actions.|
|PLASap7||Using standard material data, derive a true stress vs true strain curve to be used for nonlinear analysis.|
|PLASsy2||Plan a series of simple benchmarks in support of a more complex plasticity analysis.|
|PLASsy4||Prepare an analysis specification for a nonlinear material analysis, including modelling strategy, highlighting any assumptions relating to geometry, loads, boundary conditions...|
|PLASev1||Select appropriate solution schemes for non-linear material problems.|
|PLASev4||Assess the significance of simplifying geometry, material models, mass, loads or boundary conditions, on a non linear material analysis.|
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*It is your individual responsibility to check whether these e-learning courses satisfy the criteria set-out by your state engineering board. NAFEMS does not guarantee that your individual board will accept these courses for PDH credit, but we believe that the courses comply with regulations in most US states (except Florida, North Carolina, Louisiana, and New York, where providors are required to be pre-approved)
Telephony surcharges may apply for attendees who are located outside of North America, South America and Europe. These surcharges are related to individuals who join the audio portion of the web-meeting by calling in to the provided toll/toll-free teleconferencing lines. We have made a VoIP option available so anyone attending the class can join using a headset (headphones) connected to the computer. There is no associated surcharge to utilize the VoIP option, and is actually encouraged to ensure NAFEMS is able to keep the e-Learning course fees as low as possible. Please send an email to the e-Learning coordinator (e-learning @ nafems.org ) to determine if these surcharges may apply to your specific case.
Just as with a live face-to-face training course, each registration only covers one person. If you plan to register a large group (10+), please send an email to e-learning @ nafems.org in advance for group discounts.
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