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Frictionless contact of a block A unit square block is under a uniformly distributed load at the top surface and a frictionless contact condition with a rigid body at the bottom surface, as shown in Fig

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Frictionless contact of a block A unit square block is under a uniformly distributed load at the top surface and a frictionless contact condition with a rigid body at the bottom surface, as shown in Fig. 5.10. Using the penalty method, calculate the displacement field, penetration, and contact force at the contact interface. Use EA=10⁵ N and q=1.0 kN/m and vary the penalty parameter from 10⁵ to 10⁸. Assume plane strain with zero Poisson’s ratio.