Research in mathematics of materials science / Malena I. Español, Marta Lewicka, Lucia Scardia, Anja Schlömerkemper, editors.
Español, Malena I. editor.; Lewicka, Marta, editor.; Scardia, Lucia, editor.; Schlömerkemper, Anja, editor.
2022
TA403
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Title Research in mathematics of materials science / Malena I. Español, Marta Lewicka, Lucia Scardia, Anja Schlömerkemper, editors.
ISBN 9783031044960 (electronic bk.)
3031044967 (electronic bk.)
3031044959
9783031044953
DOI https://doi.org/10.1007/978-3-031-04496-0
Published Cham, Switzerland : Springer, 2022.
Language English
Description 1 online resource : illustrations (black and white, and color).
Item Number 10.1007/978-3-031-04496-0 doi
Call Number TA403
Dewey Decimal Classification 620.110151
Summary This volume highlights contributions of women mathematicians in the study of complex materials and includes both original research papers and reviews. The featured topics and methods draw on the fields of Calculus of Variations, Partial Differential Equations, Functional Analysis, Differential Geometry and Topology, as well as Numerical Analysis and Mathematical Modelling. Areas of applications include foams, fluid-solid interactions, liquid crystals, shape-memory alloys, magnetic suspensions, failure in solids, plasticity, viscoelasticity, homogenization, crystallization, grain growth, and phase-field models.
Bibliography, etc. Note References -- On Static and Evolutionary Homogenization in Crystal Plasticity for Stratified Composites -- 1 Introduction -- 1.1 Notation -- 2 Minimizers of the Static Homogenized Limit Problem -- 3 Homogenization via Evolutionary -Convergence -- 3.1 The Case s=e2 -- 3.2 The Case s=e1 -- References -- On the Prescription of Boundary Conditions for Nonlocal Poisson's and Peridynamics Models -- 1 Introduction and Motivation -- 2 Preliminaries -- 2.1 The Nonlocal Poisson's Problem -- 2.2 The Linear Peridynamic Solid Model -- 3 Proposed Strategies -- 3.1 Dirichlet-to-Dirichlet Strategy
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Added Author Español, Malena I. editor.
Lewicka, Marta, editor.
Scardia, Lucia, editor.
Schlömerkemper, Anja, editor.
Series Association for Women in Mathematics Series ; v. 31.
Available in Other Form RESEARCH IN MATHEMATICS OF MATERIALS SCIENCE.
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Part I: Research Paper - Interaction between oscillation and singular perturbations in a one-dimensional phase-field model (I. Zeppieri)
Grain growth and the effect of different time scales (Epshteyn)
Regularity of minimizers for a general class of constrained energies in two-dimensional domains with applications to liquid crystals (P. Bauman)
On some models in radiation hydrodynamic Poro-visco-elasticity in biomechanics - optimal control (L. Bociu)
Global gradient estimate for a divergence problem and its application to the homogenization of a magnetic suspension (Y. Gorb)
On static and evolutionary homogenization in crystal plasticity for stratified composites (E. Davoli)
On the prescription of boundary conditions for nonlocal Poisson's and peridynamics models (D'Elia)
Existence of global solutions for 2D fluid-elastic interaction with small data (M. Luckas)
Doubly nonlocal Cahn-Hillard equations. Wellposedness and asymptotic behavior (P. Radu)
3D image based stochastic micro-structure modelling of foams for simulating elasticity (K. Schladitz)
Machine learning for failure analysis: a mathematical modelling perspective (Perez-Velazquez)
Invertibility of Orlicz-Sobolev maps (B. Stroffolini)
Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain limiting theory (Y. Sengul)
Generic for dissipative solids with bulk-interface interaction (M. Thomas)
PART II: Review Papers - Phase separation in heterogeneous media (R. Venkataraman)
Some recent results on 2d crystallization for sticky disc models and generalizations for systems of oriented particles (De Luca)
Pattern formation for nematic liquid crystals-modelling, analysis, and applications (A. Majumdar)
On applications of Herglotz-Nevanlinna functions in material sciences, I: classical theory and applications of sum rules (Yvonne Ou)
On applications of Herglotz-Nevanlinna functions in material sciences, II: extended applications and generalized theory (Yvonne Ou)
Rigidity and flexibility in the modelling of shape-memory alloys (A. Ruland).

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