Tissues (even bones) are viscoelastic, so no tissue has a Young's Modulus. Only materials whose behavior is essentially elastic over some strain range and is not affected by strain rate (e.g. iron alloys) have a Young's modulus. What can be determined for viscoelastic materials (e.g. homogeneous glassy polymers) are the storage and loss moduli as a function of strain rate or cyclic frequency. Also neither the hip capsule nor the round ligament of a dog (or any creature) is a material, so one cannot really determine any sort of material modulus. What can be done is to make the crude assumption that some tissue specimen has a homogeneous, isotropic structure, then pick a direction and mode of testing (e.g. tension) and a strain rate, run a test and come up with a pseudo-modulus describing the specimen's stress/strain behavior under those conditions. People have done this for years with tissues--especially cartilage, ligaments, tendons and bones. A Google Scholar search will probably turn up something on a hip capsule or round ligament pseudo-modulus.
Thank you, and sorry for being so umprecise. I understand what you mean when you say 'it is not a material' and this is the reason why I was looking for something very specific on dogs.
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