Ductility, toughness and resilience

 There are a few other things that we can determine from the stress-strain curve of metal that is quite interesting. And I’d like to just spend a moment looking at that. So again, we’ve got the stress here, on the vertical axis, strain– typical metal. We have a curve that looks something like this. It comes up looking linear elastic, plastic, ultimate tensile strength, and then fracture. And so we’ve determined all of the strengths. We have the yield strength, the ultimate tensile strength, and the fracture strength. But what other properties can we determine? Well, first of all, one of them that you may have heard about is the ductility. So ductility has a usage in common language. You might say, well, what’s ductility all about? If something’s very ductile, you might say, well, it describes how much you can stretch something. But of course, we know that that’s not accurate enough. Stretch, is that referring to elastic or plastic? So we’ve got to be better than that. And in fact, I’ll tell you ductility is a measure of a plastic strain. So we know it’s a strain quantity, and it refers to plastic deformation, only plastic strain to fracture. Now we’ve got something we can work with– plastic strain to fracture. So let’s see well, this is the point of fracture. That’s a fracture. So that fracture, if we unload we’d have a value here for total strain. Let me write that in there for you, total strain. If we unloaded– if we took the total strain there at fracture, just a moment before it fractured, that would be our total strain. But what if we unloaded it? Somehow you knew just infinitesimally before it was going to fracture– well, we know that Young’s modulus is structure-independent. So it won’t change. So we would have unloaded that same modulus. This means we come back down here to a value on the strain axis, a finite value corresponding to zero stress. It’s unloaded, there’s no stress on it, but there’s still some persistent strain. That strain has to be plastic. That’s a plastic strain, which means that this strain here is elastic. That’s elastic, and that makes sense because what is that? That’s the strain underneath this linear unloading portion. And the unloading portion, if it’s linear, is governed by Hooke’s law. And we know that’s elastic because Hooke’s law refers to elastic behavior. So if we unload down and we get plastic strain, that plastic strain has got to be the ductility. So ductility, you unload at fracture. And the remaining strain is the ductility. Another interesting property that we can determine from this stress-strain behavior for a metal, for other material classes as well, is called toughness. And the toughness is sometimes not such an intuitive quantity. You can understand strength, it’s force over area. You got a sense for that. It’s pressure, if you will. Even modulus you can kind of get a bit of an intuitive sense for it because it’s how hard is it to bend something elastically. It’s a little harder, but the toughness is– toughness, I’ll tell you what the tough is. Toughness is the energy– it’s an energy term. And it’s energy absorbed to fracture. What we can do is integrate. And that is to take the area under the curve. So if we take the area under this curve here, it would be this area here, all this area here under the curve is the toughness. And how do we know that? We could look at it dimensionally. If we’re taking a product of stress and strain and looking at the dimensions, stress has units of Pascals. And what’s a Pascal? A Pascal is a Newton per square meter. Well, I can go on living my life multiplying whatever I want by 1 and just multiply this screen by 1. You didn’t even notice. So here we go, where I multiply Newton per square meter by 1, meter over meter, and I end up with a familiar term in the numerator– Newton meter. And of course in the denominator I’ve got volume units. But what’s the Newton meter? A Newton meter is nothing more than a joule. So we’ve now got joules per volume as units when we integrate under this. And that’s great because we want an energy unit. So if we integrate under the entire curve up to fracture, it tells us how much energy went into fracturing that. And that includes elastic and plastic deformation. The final thing that we can obtain from the stress curve, is another energy unit and it’s quite useful– it’s a stored energy unit this time. We’ve got stress and strain. We’ve got our linear elastic region, plastic deformation, and fracture– is the resilience. Thus resilience is a measure of the stored elastic strain energy at the yield strength. So again, we know if it’s going to be an energy term, energy per volume for a given volume of material, we’re going to have to integrate under the curve. And where are we going to do it from? Well, we’ll go to the yield strength. And we go down from there. And if we unloaded at the yield strength– I’m going to be a little careful about something– if we unloaded at the yield strength, you’d find that you have a little sliver of permanent or plastic strain. Maybe it’s close to the 0.2% offset strain. You’d probably have some plastic strain accumulated when we had yield. For practical purposes, we say it’s elastic before yielding and it’s plastic after. You might have a sliver. So we’re not going to include that if we’re going to be strict with our definition here. And so that area there is the resilience. And that area is just an area of a triangle. And we know that the area of a triangle is 1/2 base times height, which in our case is 1/2 of– well, what’s the base? The base is the elastic strain. And that’s good because we’re after the stored elastic strain energy. So we’ve got strain elastic. And what’s the height? Well, the height is the yield strength. But we can, again, do better than this. Because if it’s elastic, it’s the area under this– or it’s the strain underneath this linear unloading portion. And the linear unloading portion, we have a mathematical equation for. We have stress equals E times strain. It’s a straight line. So that means that the strain is going to be equal to sigma over E. And we fire that in here, and we find that the resilience is– I should erase that– the resilience is going to be 1/2 of sigma, and this is the sigma yield. That’s what we’re using here. So that’s sigma yield over E times sigma yield. So at the end of the day, the resilience, which we often use this– I’ll introduce this symbol here. The full name for this is the modulus of resilience. And modulus is just a fancy word for a special number. So our special number here is the modulus of resilience. And we use the uppercase letter U. Is 1/2 sigma yield squared upon E– and that’s an interesting little equation. It tells you the stored strain energy for a material. So if you’re going to make a material for a spring, you’d look for something with a high modulus of resilience. And again, the units here, the dimensions here of modulus of resilience are going to be joules per cubic meter.As found on YouTubeExplaindio Agency Edition FREE Training How to Create Explainer Videos & SELL or RENT them! Join this FREE webinar | Work Less & Earn More With Explaindio AGENCY EDITIONOIP-48

How to Overcome Anxiety & Improve Resilience [Acceptance & Commitment Therapy]

The rest of this interview series featuring Dr. Judy Ho is only available HERE: https://bit.ly/3gz7juaAnxiety is debilitating. So this groundbreaking treatment called acceptance & commitment therapy (SCT) is a life changer. It will make you more psychologically resilient & change your life.Thanks for watching our youtube video! Now, FOLLOW US ON SOCIAL MEDIA: INSTAGRAM: https://www.instagram.com/medcircleofficial FACEBOOK: https://www.facebook.com/MedCircleOfficial TWITTER: https://www.twitter.com/medcircleFollow our host, Kyle Kittleson: FACEBOOK: https://www.facebook.com/KyleKittleson/ TWITTER: https://www.twitter.com/kylekittleson INSTAGRAM: https://www.instagram.com/kylekittlesonABOUT THE SERIES: Acceptance and Commitment Therapy is the science-backed way to break you free from your thoughts, help you reach your goals, & change your life. In this groundbreaking series, Triple Board Certified psychologist and ACT expert Dr. Judy Ho walks you through everything you need to know about acceptance and commitment therapy. In doing so, she teaches you how to revolutionize your self-identity and truly understand what it means to be happy.Dr. Ho first explains where acceptance and commitment therapy came from, how it puts you in a position to successfully reach your goals, and why we don’t reach our goals in the first place.She then walks through the six core processes that are at the foundation of acceptance and commitment therapy: acceptance, cognitive defusion, being present, self as context, values, and committed action.‘Acceptance’ sounds simple, but applying this concept can be difficult. However, Dr. Ho gives you the expertise that will make it easier to practice this part of acceptance and commitment therapy. According to Dr. Ho, the thing that often stands in the way of our doing something meaningful is fear. However, ACT gives you the tools to that will motivate you to both understand and successfully tolerate that fear. In doing so, you’re in a better position to reach your goals.The next process of ACT is ‘Cognitive Defusion.’ According to Dr. Ho, this process will change your relationship with your thoughts. The way to do this will surprise you; it requires looking past the constraints of language and understanding your thoughts in a whole new light.You’ve probably heard of the next concept – ‘Being Present’ – but acceptance and commitment therapy takes this concept a step further. ACT uses evidence-based techniques that give you the power to non-judgmentally experience the world around you. Dr. Ho shows you how in this series.Having a healthy sense of self is the key to self-discovery and finding your purpose. But what actually defines a healthy sense of self is different than you’d expect. Dr. Ho explains those differences in the session focused on the 4th module, ‘Self as Context.’ She shares how this process will strengthen your own self-identity.Processes 5 and 6 are intertwined – ‘Values’ and ‘Committed Action.’ Values define our belief systems and exist to give our lives purpose. So how can you ensure that your goals are rooted in your values and bring meaning to your life? And how can you use ‘Committed Actions’ to link your values to your behavior? Dr. Ho tells you how in our final session.After finishing this series, you will understand how to (and be motivated to) traverse the research-backed road to self-discovery that acceptance and commitment therapy provides.

The Anxiety Life Changer: How to Improve Your Resilience

Anxiety is debilitating. So this groundbreaking therapy is a life changer. It will make you more psychologically resilient & change your life.The rest of this exclusive series is available HERE: http://bit.ly/2I5PG6MThanks for watching our youtube video! Now, FOLLOW US ON SOCIAL MEDIA: INSTAGRAM: https://www.instagram.com/medcircleofficial FACEBOOK: https://www.facebook.com/MedCircleOfficial TWITTER: https://www.twitter.com/medcircleFollow our host, Kyle Kittleson: FACEBOOK: https://www.facebook.com/KyleKittleson/ TWITTER: https://www.twitter.com/kylekittleson INSTAGRAM: https://www.instagram.com/kylekittlesonABOUT THE SERIES: Acceptance and Commitment Therapy is the science-backed way to break you free from your thoughts, help you reach your goals, & change your life. In this groundbreaking series, Triple Board Certified psychologist and ACT expert Dr. Judy Ho walks you through everything you need to know about acceptance and commitment therapy. In doing so, she teaches you how to revolutionize your self-identity and truly understand what it means to be happy.Dr. Ho first explains where acceptance and commitment therapy came from, how it puts you in a position to successfully reach your goals, and why we don’t reach our goals in the first place.She then walks through the six core processes that are at the foundation of acceptance and commitment therapy: acceptance, cognitive defusion, being present, self as context, values, and committed action.‘Acceptance’ sounds simple, but applying this concept can be difficult. However, Dr. Ho gives you the expertise that will make it easier to practice this part of acceptance and commitment therapy. According to Dr. Ho, the thing that often stands in the way of our doing something meaningful is fear. However, ACT gives you the tools to that will motivate you to both understand and successfully tolerate that fear. In doing so, you’re in a better position to reach your goals.The next process of ACT is ‘Cognitive Defusion.’ According to Dr. Ho, this process will change your relationship with your thoughts. The way to do this will surprise you; it requires looking past the constraints of language and understanding your thoughts in a whole new light.You’ve probably heard of the next concept – ‘Being Present’ – but acceptance and commitment therapy takes this concept a step further. ACT uses evidence-based techniques that give you the power to non-judgmentally experience the world around you. Dr. Ho shows you how in this series.Having a healthy sense of self is the key to self-discovery and finding your purpose. But what actually defines a healthy sense of self is different than you’d expect. Dr. Ho explains those differences in the session focused on the 4th module, ‘Self as Context.’ She shares how this process will strengthen your own self-identity.Processes 5 and 6 are intertwined – ‘Values’ and ‘Committed Action.’ Values define our belief systems and exist to give our lives purpose. So how can you ensure that your goals are rooted in your values and bring meaning to your life? And how can you use ‘Committed Actions’ to link your values to your behavior? Dr. Ho tells you how in our final session.After finishing this series, you will understand how to (and be motivated to) traverse the research-backed road to self-discovery that acceptance and commitment therapy provides.

Pt: 1 Road to Resilience Research Summit: Disaster to Social and Environmental Resilience

The University of Missouri-Columbia hosted the UM System Road to Resilience – Disaster to Social and Environmental Resilience Summit on Wednesday, June 19, 2019. This research summit showcased interdisciplinary work from all four UM System universities and provided a forum to stimulate systemwide collaboration and innovation around recovering from and preparing for disasters. Presentations include topics such as transportation and planning response to natural disasters; counseling children who have been exposed to trauma or adversity; the human dimensions of disaster prevention; and emergency and disaster planning and policy.

Innovations in Mental Health: Expanding Accessibility #SkollWF 2017

Some 450 million people live with a mental health condition, and approximately 260 million cope with post-traumatic stress. People with mental illness face stigma and exclusion from society, a division within communities facing recovery from conflict, displacement, and other traumas. Globally, mental health services are inadequate or nonexistent, and when they exist, Western-oriented therapies are often culturally inappropriate. We’ll share two innovative mental health support and community resilience approaches, and discuss how these models intersect with the work of social entrepreneurs.Chris Underhill – Speaker Founder, BasicNeedsElaine Miller-Karas – Speaker Co-Founder and Executive Director, Trauma Resource InstituteChangemakers from around the globe and across all sectors gather each year in Oxford, England for the Skoll World Forum to share new ideas, new perspectives, and ultimately, new relationships built on trust and a mutual desire for human progress. Over the span of one week, this community tackles the thorniest challenges through the lens of social entrepreneurship. With their drive, creativity, and leadership, these innovators work tirelessly to create equilibrium change towards a more just, sustainable and prosperous world.   The Skoll World Forum on Social Entrepreneurship is the premier international platform for advancing entrepreneurial approaches and solutions to the world’s most pressing problems. Our mission is to accelerate the impact of the world’s leading social entrepreneurs by uniting them with essential partners in a collaborative pursuit of learning, leverage and large-scale social change.   Each year, nearly 1,000 of the world’s most influential social entrepreneurs, key thought leaders and strategic partners gather at the University of Oxford’s Saïd Business School to exchange ideas, solutions and information.  
Skoll World Forum

Christian Moore at Sonoma County Challenges of Youth Conference

https://youtube.com/watch?v=ft-X3BV7tiM

The 2018 Sonoma County Challenges of Youth Conference provided cutting-edge information, tips, and tools to empower those serving Sonoma County youths to help them overcome the challenges they face. Christian Moore, author of “The Resilience Breakthrough” and founder of the “Why Try” methodology, delivered this inspiring keynote presentation about the power of resilience and how to foster it in all children regardless of background.

Stress, anxiété, blocages : les conditions et les étapes pour reprendre votre vie en main

https://youtube.com/watch?v=05NntFobpkU

Pour aller plus loin, visionnez gratuitement 4 vidéos de formation ici : https://formations.cyrinne.com – – – – – – – – – – Présentation de la conférence intitulée : Stress, anxiété, blocages : les conditions et les étapes pour reprendre votre vie en main. Conférence présentée par Jean-Jacques Crèvecoeur et Cyrinne Ben Mamou, organisée par le Groupe d’Entraide pour un Mieux-Être, le 6 Novembre 2014 à St-Bruno (Québec, Canada).