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The flexure strip is commonly used to provide support stiffness in flexure mechanisms for precision applications. While the flexure strip is often treated in a simplified form, e.g. by assuming planar deformation or linearized stiffness, the deformation in practice is spatial and sufficiently large that nonlinear effects due to the geometrical stiffness are significant.
This paper presents an understandable analytical model for the nonlinear stiffness characteristics of flexure strips that deform spatially due to a general 3-D loading condition. This model provides closed-form expressions in a mixed stiffness and compliance matrix format that is tailored to flexure mechanism analysis. The effects of bending, elongation, and torsion deformation are taken into account. The geometrically nonlinear effects of the model are verified numerically.
The approach for deriving closed-form solutions in a nonlinear context is detailed in this paper. Based on the Hellinger–Reissner variational principle, it can also be extended to the analysis of multi-flexure strip mechanisms. This is demonstrated with the case of a spatially deforming parallelogram flexure mechanism.
It is absolutely possible to love yourself and your body and still want to improve it, which sounds a bit like your goal. And if you have been strong before then i can understand why you would want to go back to that. For me, when i first began exercising i was a complete cardio bunny. I struggled alot with finding balance with exercise so i did alot of cardio as i didnt think i had exercised enough if i hadnt done my X minutes of cardio, but i began strength training because i felt my arms were too skinny. My body naturally holds weight in my legs, hips and thighs while my upper body was still very thin... so my main reason to begin strength training was to get bigger arms, and then i fell inlove with strength training. So having a goal such as wanting to be stronger or able to do pull ups or just to feel capable of doing things, not feeling weak (which was a strong motivator for me) are good goals. That was a long answer! And this is just subjective, some might say that it isnt good goals, but i think they are good goals and dont have to be ED related.
Stretching and yoga would be helpful for that :) Make sure to be warmed up before stretching and do a little everyday or a few times each week and you will notice progress. When it comes to headstands and handstands there are great videos online you can use to help you, and if you can maybe get someone to help you or stand behind/infront of you so that you dont injure yourself. But i think yoga is great for everyone (there are many types of yoga) as it can help people to stress less, feel more calm and relaxed as well as having so many health benefits. Unfortunately ive tried yoga several times and its not something i enjoy so havent been able to commit to it.
But the best thing to reach your goal of flexibility is to dare to try them and to keep practising - but make sure you feel "flexible" enough before trying, dont want to injure yourself because you try to do some move and the body isnt ready.
If I could just ask a quick question. If yoy have any advice. I usually eat the same meals for every meal (or certain ones I know of so it slightly varies) but that is because I know the total calorie content to eat meal. So for the longest time my breakfast has to be x amount of calories, snack x amount, lunch x amount, and so on. So whenever I get my food ready I don't have what I necessarily want but what l fit that calorie number and it can't go above. The reason is I'm scared I'll gain weight too quickly as I want it to be gradual. But it has been lije this for a looong time but I want to get out of it but I can't. I don't want to reach my goal weight and still have to count these calories and make sure every meal is the same. But then I'll gain weight if I don't aND go over. What do j do?
The first thing to remember is that the body is not a calculator... you can eat more one day and your body wont suddenly gain weight. I know it doesnt feel like it, it can feel like once you eat 20kcal more than usual suddenly you will gain 500g, but that is not the truth.  It wont magically happen that you will allow yourself to eat differently or more, things wont change just because you gain weight.... you need to keep fighting those rules and control your eating disorder has.
The first thing is to think... i need to gain weight so who cares if i gain more one week. That is not the end of the world, because one way or another you will have to reach your goal weight.
Two, what is so bad if you do gain "more" one week?
I dont know how much you are eating, but it is important to remember that in recovery you need to keep increasing your calories so that you eat around 2800-3500+ a day, eating very little while gaining weight = metabolism wont fully speed up or recover and then you will be limited to very few calories and most likely not enough calories.
The best advice i can give you is that one day decide to eat a snack which you want to eat, something you are craving.   Think of all the amazing food there is out there and how limited you are... what happens if you travel, if you need to be away from home or somewhere else? Not sure if you are in a relationship or not, but what happens if your partner wants to go out to eat or wants to cook you something for your birthday or for special occasions but you end up screaming and crying and refusing to eat because its "different" and might be more than what you usually eat. That isnt a life, that is surviving within 4 walls.
So try to eat something different, even if you just do it 1 or 2 times a week to start off with. Try and see that nothing will happen, distract yourself against the anxiety and the fear. And then try to eat a lunch or dinner according to what you want, without measuring or counting. Break free from the meal plan and dont worry about eating "too much" because you most likely wont. Infact, when you are eating without measuring its better to add a little extra because at first you are more likely to eat less than what you need because you are worried about eating too much.
I know its tough, but think do you want to be like this forever? You will need to overcome these barriers and the fear sometime, this is part of recovery. 
If you are going through extreme hunger from restrictive eating, then eating what your body tells you is the best... even if that means like 6000kcal. All that energy will be used to repairing your organs, and extreme hunger doesn't last that long but if you ignore it, it can end up triggering binges as you have felt this constant hunger but ignored it so then it is like something snaps and you just eat and eat and eat and it becomes uncontrollable.
 Not sure if you are following a meal plan or not, but if you are, then eat bigger portions. Add in dessert or extra to your meals, take more. Because right now your body needs more food, it wants more energy as it is trying to repair itself so give your body the energy it needs. By following a meal plan and just eating bigger portions it means you are still eating regularly and keeping routines but giving your body more energy it needs, and then when you feel that the extreme hunger is passed either keeping eating the same or go back to your original meal plan. Food is fuel and hunger means that your body needs food. Think, you have put your body through alot and it hasnt felt safe and hasnt gotten the energy or nutrients it needs, and now it is saying "give me food, give me energy, give me nutrients", its way of saying "i have been starved and now i need lots of energy to repair the damage and to make sure that if we starve again, then the body can atleast have some energy to last on": Allow yourself to eat more and see how you feel, the extreme hunger will pass eventually.
If i have missed anyones comment, then please either resend the comment or comment on the post you had commented "such as... you didnt answer my question or "look at the comment above" etc" as i dont see all comments and i dont always check my own posts :/ But i dont mean to ignore you.
Oh my god izzy I can't believe you answered 2 of my questions (the first 2)!! Thank you SO much!!!!
You are write, even though it'll be difficult, I have to try and break free from this calorie limit I have. It's about nutrition right? Not calories.....I think I will take your advice and a different snack once in a while and hopefully continue with meals and then not count at all (I wish and hope!!). It's just difficult because I know that befote when I was healthy weight I never counted and just ate what I wanted but I maintained. That probably had to do with exercise as well which is why I think going ti the gym will help me (but I want to get strong anyway!). Is it bad to just want to eat healthy foods? Like if I want a muffin or cookie Id usually not because it's not healthy so I'd go for the fruit instead?
Thank you again so much izzy!! You really are a amazing person!! Love you!!!
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