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Modern references for continuum mechanics

The definition of rigid body in Box2d is

A chunk of matter that is so strong that the distance between any two bits of matter on the chunk is completely constant.

And this is exactly what i don't want as i would like to make 2D (maybe 3D eventually), elastic, deformable, breakable, and even sticky bodies.

What I'm hoping to get out of this community are resources that teach me the math behind how objects bend, break and interact. I don't care about the molecular or chemical properties of these objects, and often this is all I find when I try to search for how to calculate what a piece of wood, metal, rubber, goo, liquid, organic material, etc. might look like after a force is applied to it.

Also, I'm a very visual person, so diagrams and such are EXTREMELY HELPFUL for me.

Community
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Griffin
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3 Answers3

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The subject you're looking for is called continuum mechanics. This is the physics of deformable media.

There's a list of textbooks here:

Modern references for continuum mechanics

Community
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Ryan Budney
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If it is rigid, it is rigid. It doesn't matter what it is made of. If a force is applied, it moves. Newton's law $f=ma$ applies. If the force is off center, you get a torque, and $N=I\frac{d\omega}{dt}$ applies.

Ross Millikan
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You might start out with http://en.wikipedia.org/wiki/Linear_elasticity and references from there.