CrossRef
Open Access
2024
Variational evolution of discrete one-dimensional second-order functionals
Anneliese Defranceschi
Luca Lussardi
Enrico Vitali
Abstrak
A variational scheme of evolution (minimizing movements) is applied to a sequence of discrete functionals converging, as the mesh size tends to zero, to the prototypical second-order functional with free-discontinuities. At fixed mesh size, a discrete evolution can be defined, depending on a (small) time parameter. We study the limit problem when both the mesh size and the time step tend to zero. The method provides a function which matches the expected evolution of the free-discontinuity limit functional. From a mechanical point of view, the model can be interpreted as the evolution from a non-equilibrium state, of a rod with possible crease discontinuities and fracture.
Penulis (3)
A
Anneliese Defranceschi
L
Luca Lussardi
E
Enrico Vitali
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2024
- Bahasa
- en
- Sumber Database
- CrossRef
- DOI
- 10.1177/10812865241275568
- Akses
- Open Access ✓