The formulation of geometrically exact theories for thin plates, their approximations and
differences with respect to either linear or ad hoc nonlinear theories (such as the Föppl–von …

The nonlinear theory of beams undergoing planar motions is presented in its kinematic,
dynamical, and constitutive aspects. The classical form of the equations of motion and the …

This chapter addresses the derivation of the nonlinear problem of purely extensible elastic
cables, treated as a one-dimensional continuum. The cable problem combines the striking …

Introductory concepts such as those of geometric and material nonlinearities are presented
through a rich collection of simple yet illuminating examples shedding light on the …

This chapter discusses the nonlinear theory of curved beams and ring structures used in a
wide range of engineering applications including aircraft fuselages, arch bridges, roof …

An overview of the modern theory of stability and bifurcation is presented in the context of
mechanical and structural systems subject to conservative and nonconservative forces. The …

This chapter addresses the static and dynamic loss of stability of slender beams. The
buckling problem is discussed for uniform and nonuniform straight beams with compact …

This chapter covers the problem of space discretization of conservative and nonconservative
nonlinear distributed-parameter systems by illustrating the properties and underlying …

This chapter presents the theory of nonlinear three-dimensional solids with regard to the
geometry of deformation, stress, interactions with the environment, and constitutive …

State-of-the-art nonlinear theories of formidable structures such as suspension bridges
suspended in the air over thousands of meters are presented. Very long cables made of …