Abstract Superalloys are critical materials for the hottest sections of stationary gas turbines and aircraft engines. Homogeneously fine-grained microstructures essential to unlock their superior high-temperature strength but challenging achieve in γ ′-containing Ni-based superalloys. Such achieved by recrystallization through hot working grain boundary pinning via μ m-scale second phase partic...

The Ni-base superalloy 718 is the most widely used material for turbomachinery in aerospace industry and land-based turbines. Although relationship between processing resulting properties well known, an understanding of specific deformation mechanisms activated across its application temperature range required to create more mechanistically accurate property models. Direct atomic-scale imaging ...

The µ phase is a common precipitation in superalloys and it exists wide composition temperature range. As such, we study the influences of on its plasticity by micropillar compression tests transmission electron microscopy. micropillars μ-Co7Nb6 deform plastically basal slip at room 600 °C. At temperature, Co-49Nb Co-52Nb show high yield stresses an abrupt large strain burst onset yielding rega...

This paper considers a wavelet analogue of the classical Ginzburg-Landau energy, where the Hseminorm is replaced by the Besov seminorm defined via an arbitrary regular wavelet. We prove that functionals of this type converge, in the Γ-sense, to a weighted analogue of the TV functional on characteristic functions of finite-perimeter sets. The Γ-limiting functional is defined explicitly, in terms...

A homogenization problem arising in the gradient theory of fluid-fluid phase transitions is addressed in the vector-valued setting by means of Γ-convergence.

We give a Γ-convergence result for vector-valued nonlinear energies defined on periodically perforated domains. We consider integrands with n-growth where n is the space dimension, showing that there exists a critical scale for the perforations such that the Γ-limit is non-trivial. We prove that the limit extra-term is given by a formula of homogenization type, which simplifies in the case of n...

Γ-convergence techniques are used to give a characterization of the behavior of a family of heterogeneous multiple scale integral functionals. Periodicity, standard growth conditions and nonconvexity are assumed whereas a stronger uniform continuity with respect to the macroscopic variable, normally required in the existing literature, is avoided. An application to dimension reduction problems ...