Abstract: In this edition of ESRD’s Numerical Simulation Series, the computation of problems in solid mechanics via numerical simulation is examined in detail. Highlights include:

• Basic concepts and terminology in numerical simulation as it pertains to the field of solid mechanics
• The principle of virtual work, the finite element method, controlling discretization errors and hierarchic modeling
• Generalized Hooke’s law in 3D, engineering constants, and transformation of material matrices
• Principal stresses and strains, thermal loads, singularities and convergence rates
• Example model problems in the field of solid mechanics