Ferroelectric domain walls differ in their electrical conductivity under different electric and elastic boundary conditions, and this performance can be used to design memories. A phase-field model is developed to explore the effect of elastic, temperature, and toroidal electric fields on the electrical conductivity for a prototype domain-wall memory unit embedded in a center-type quadrant topological domain structure. It shows that the toroidal electric field can switch two states of the domain wall with high and low conductivity repeatedly, and the conductivity can be tuned by the temperature, misfit strain, and thickness. This work might provide significant reference and technical guidance for the design and application of ferroelectric-domain-wall memory.

The analytical solution of three-dimensional heat conduction problem, including the temperature and thermal flux fields, is one of the important problems that have not been completely solved in solid mechanics. Considering the temperature dependence of material parameters makes the problem more difficult. In this paper, we first reduce the three-dimensional temperature-dependent heat conduction problem to the solution of three-dimensional Laplace equation by introducing the intermediate function. Then, the generalized ternary function is proposed, and the general solution of three-dimensional Laplace equation is given. Finally, the analytical solutions of three specific problems are obtained and the corresponding temperature-thermal flux fields are discussed. The results show that the thermal flux field of three-dimensional temperature dependent problem is the same as the classical constant thermal conductivity approach result, while the temperature field is different from the classical result. Thermal flux at a planar defect boundary has r-1/2 singularity, and its intensity is proportional to the fourth root of defect width. On the other hand, when blocked by a planar defect, the thermal flux distribution will re-adjusted so that it overflows at the same rate from all parts of the planar defect boundary.

However, due to the ongoing COVID-19 pandemic, the decision was made to hold the conference via the internet on March 12-15, 2021. The abbreviation of the conference was thus changed from ACMFMS 2020 to ACMFMS 2020þ1. This date also marked ten years since the Tohoku Earthquake (also known as the Great East Japan Earthquake, which occurred at 2:46 pm on March 11, 2011).In order to effectively use limited resources and build a sustainable society, it is necessary to design and develop highly functional materials and structures. Research on theoretical and applied mechanics is very important for increasing the functionality of materials and structures for their safe use. Additionally, solid mechanics is the basis of advanced industrial technology. The aim of ACMFMS 2020þ1 was to disseminate state-of-the-art research on the mechanics of functional materials and structures while encouraging collaboration among multidisciplinary investigators across various diverse scientific disciplines. Despite being held online, the conference was conducive to fostering thoughtful and productive interaction among attendees, especially early career researchers across Asia. Collectively, the discussions at the conference further contributed to our knowledge and fundamental understanding of the mechanics of

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