1 Laminate Response (30 points) Consider a isotropic, linear-elastic bodies subjected to pure shear. Microstructurally, we suppose that there are two distinct regions, with moduli {\\{{], M^[^]};| the distinct layers form laminated regions in the material, with an alternating sequence between materials 1 and 2. Two laminated configurations are being considered, and are shown in Problem-Figure 1.1. 2 1- n Problem-Figure 1.1: Laminate of consideration. As might be the case in a real material, we want to find the overall properties, as we don't want to get stuck on the fine details of the material. To do this, we will make use of the following procedure: 1. Integrate the tractions to relate them to the overall applied shears. 2. Apply jump conditions to ensure continuity in the displacements and tractions across the material interfaces. 3. Make use of the various forms of Hooke's law to find what we need. Problem 1.1 (30 points) Suppose that the normal vector is given as n = = [1,0]. Find the effective shear modulus in this case.