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Phase separation coupled with damage processes analysis of phase field models in elastic media / Christian Heinemann, Christiane Kraus.
| Author/creator | Heinemann, Christian |
| Other author | Kraus, Christiane. |
| Format | Electronic |
| Publication Info | Wiesbaden : Springer Spektrum, [2014] |
| Description | 172 pages : color illustrations ; 22 cm |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2014 English International |
| Supplemental Content | Full text available from Springer Books |
| Subjects |
| Series | Research (Springer Spektrum) |
| Contents | Mathematical preliminaries -- PDE modeling and thermodynamic consistency -- Cahn-Hilliard systems with polynomial chemical potentials coupled with damage processes and homogeneous elasticity -- Cahn-Hilliard systems with logarithmic chemical potentials coupled with damage processes and inhomogeneous elasticity -- Complete damage processes -- Cahn-Hilliard systems coupled with complete damage processes and homogeneous elasticity. |
| Contents | Modeling of Phase Separation and Damage Processes -- Notion of Weak Solutions -- Existence of Weak Solutions -- Degenerate Limit. |
| Abstract | "The authors explore a unifying model which couples phase separation and damage processes in a system of partial differential equations. The model has technological applications to solder materials where interactions of both phenomena have been observed and cannot be neglected for a realistic description. The equations are derived in a thermodynamically consistent framework and suitable weak formulations for various types of this coupled system are presented. In the main part, existence of weak solutions is proven and degenerate limits are investigated"--Back cover. |
| General note | Christiane Kraus is Christian Heinemann's dissertation advisor. |
| Dissertation note | Ph. D. Humboldt-Universität zu Berlin 2013. |
| Bibliography note | Includes bibliographical references (pages 167-172) |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Language | In English with additional German abstract. |
| Genre/form | Electronic books. |
| LCCN | 2014933590 |
| ISBN | 9783658052515 (pbk : acid-free paper) |
| ISBN | 3658052511 (pbk : acid-free paper) |
| Publisher number | Best.-Nr.: 86363637 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |