NAFEMS Nonlinear Analysis Benchmarks Contents Elastic Large Deflection Response of a Z-Shaped Cantilever Under an End Load Obtain the elastic large deflection response of a Z-shaped cantilever subjected to a total load of 4000 N on one end and fixed on the other end. Large Elastic Deflection of a Curved Elastic Cantilever Under Transverse Load Determine the variation of displacement components with applied load at B on a curved elastic cantilever under a transverse end load. Large Elastic Deflection of a Pinched Hemispherical Shell Determine the load-displacement curves at points A and B on a hemispherical shell subjected to point loads. Straight Cantilever under Tip Loading Determine the nonlinear response at the tip of a straight cantilever beam subjected to different end load conditions. Solid Cantilever Beam Under End Loading Determine the nonlinear response at the tip of a straight cantilever beam subjected to both axial and vertical end-point loads. Buckling of a Beam Frame A two-beam frame is loaded with a concentrated vertical load at point A. Determine the response of the frame under buckling at the location of the applied load. Rigid Punch Pressing an Elastoplastic Plate A rigid frictionless punch is pressed into a deep plate of finite width supported on a frictionless plane. A 2D plane strain formulation is applied. Thermal Ratcheting of Eccentric Tube Determine the hoop stress distribution along the thin edge of an eccentric tube subjected to constant internal pressure and a cyclic temperature gradient varying linearly through thickness. Cyclic Thermal Loading of Two Bar Assembly - Shakedown Approach Determine the cyclic variation of stresses and strains for a two-bar assembly loaded axially by a constant mechanical load and a cyclic thermal load of ± 100 °C. Cyclic Thermal Loading of Two Bar Assembly - Alternating Plasticity Determine the cyclic variation of stresses and strains for a two-bar assembly loaded axially by a constant mechanical load and a cyclic thermal load of ± 300° C. Cyclic Thermal Loading of Two Bar Assembly - Shakedown Approach - General Case Determine the cyclic variation of stresses and strains for a two-bar assembly loaded axially by a constant mechanical load and a cyclic thermal load of ± 300 °C. Parent topicNAFEMS Benchmark Problems