【摘 要】
：
Data-driven computing in elasticity attempts to directly use experimental data on material, without con- structing an empirical model of the constitutive relation, to predict an equilibrium state of a structure subjected to a specified external load. Prov
【机 构】
：
Mathematics and Informatics Center,The University of Tokyo,Hongo 7-3-1,Tokyo 113–8656,Japan
论文部分内容阅读
Data-driven computing in elasticity attempts to directly use experimental data on material, without con- structing an empirical model of the constitutive relation, to predict an equilibrium state of a structure subjected to a specified external load. Provided that a data set comprising stress–strain pairs of material is available, a data-driven method using the kernel method and the regularized least-squares was devel- oped to extract a manifold on which the points in the data set approximately lie (Kanno 2021, Jpn. J. Ind. Appl. Math.). From the perspective of physical experiments, stress field cannot be directly measured, while displacement and force fields are measurable. In this study, we extend the previous kernel method to the situation that pairs of displacement and force, instead of pairs of stress and strain, are available as an input data set. A new regularized least-squares problem is formulated in this problem setting, and an alternating minimization algorithm is proposed to solve the problem.
其他文献
We investigate bidirectional teleportation that works in a fair and efficient manner.Two explicit protocols are proposed to realize bidirectional teleportation with a controller.One is a symmetric protocol for two-qubit states.The other is an asymmetric p
The wavelet analysis technique is a powerful tool and is widely used in broad disciplines of engineering,technology,and sciences.In this work,we present a novel scheme of constructing continuous wavelet functions,in which the wavelet functions are obtaine
In this paper,we study the Joule-Thomson expansion for RN-AdS black holes immersed in perfect fluid dark matter.As perfect fluid dark matter is one of the dark matter candidates,we are interested in how it influences the thermodynamic properties of black
The properties of strange quark stars are studied within the quasi-particle model.Taking into account chemical equilibrium and charge neutrality,the equation of state (EOS) of(2 + 1)-flavor quark matter is obtained.We illustrate the parameter spaces with
The quantum phase transition (QPT) and quantum criticality of an anisotropic spin-1/2 XY chain under the interplay of magnetic field and Dzyaloshinskii-Moriya (DM) interaction,which is interpreted as an electric field,are investigated,wherein the anisotro
It is noted that in the new Particle Data Group (PDG) version the rare decays of the Λb baryon have been revised with more accuracy.The new.results show that most of the existing theoretical results on the process Λb → Λγ are larger than those of experime
We investigate the transient spontaneous quantum synchronization between two qubits interacting with a common non-Markovian environment based on a collision model.We are mainly interested in the effect of non-Markovianity on the synchronization between tw
The prime objective of this paper is to explore the new exact soliton solutions to the higher-dimensional nonlinear Fokas equation and (2+l)-dimensional breaking soliton equations via a generalized exponential rational function (GERF) method.Many differen
The quantum Brownian motion model is a typical model in the study of nonequilibrium quantum thermodynamics.Entropy is one of the most fundamental physical concepts in thermodynamics.In this work,by solving the quantum Langevin equation,we study the von Ne
During free exploration,the emergence of patterned and sequential behavioral responses to an unknown environment reflects exploration traits and adaptation.However,the behavioral dynamics and neural substrates underlying the exploratory behavior remain po