MT-1620 al.2002 12 0yy22(-y2 So, the gradients in strain are related in certain ways since they are all related to the 3 displacements Same for other 5 cases Let's now go back and spend time with the Stress-Strain Relations and the Elasticity Tensor In Unified, you saw particular examples of this, but we now want to generalize it to encompass all cases The basic relation between force and displacement (recall 8.01 )is Hooke's Law F=k t spring constant(linear case Paul A Lagace @2001 Unit 4-p. 9∂ ∂ MIT - 16.20 Fall, 2002 ∂2ε12 1  ∂2ε11 + ∂2ε22  ⇒ = 2 y y2 2  ∂y2 ∂y12  1  So, the gradients in strain are related in certain ways since they are all related to the 3 displacements. Same for other 5 cases … Let’s now go back and spend time with the … Stress-Strain Relations and the Elasticity Tensor In Unified, you saw particular examples of this, but we now want to generalize it to encompass all cases. The basic relation between force and displacement (recall 8.01) is Hooke’s Law: F = kx spring constant (linear case) Paul A. Lagace © 2001 Unit 4 - p. 9