In this work, the nonlinear buckling and post-buckling behavior of shallow arches made of Shape Memory Alloy (SMA) is investigated. Arches are susceptible to large deflections, due to their slenderness, especially when the external load exceeds the serviceability limit point. Beyond this, loss of stability may occur, the famous snap-through buckling. For this reason, curved beams can be used in...

For nonlinear differential-algebraic equations (DAEs), we define two kinds of equivalences, namely, the external and internal equivalence. Roughly speaking, word “external” means that consider a DAE (locally) everywhere “internal” on its maximal invariant submanifold (i.e., where solutions exist) only. First, revise geometric reduction method in DAEs solution theory formulate an implementable a...