Functional materials have received a lot of attention in recent years. Composite materials of soft polymers with embedded ferroelectric particles are advantageous due to the large deformations possible in such materials. Phenomenological modeling of associated electromechanical coupling phenomena has been extensively covered. However, complex multi‐scale interactions based on a microscopic electric domain evolution and its effect on the overall macroscopic response is of utter importance for the understanding of the underlying physical phenomena. This necessitates the use of multi‐scale approaches such as computational homogenization to reliably predict and in turn enhance the overall material response. We propose a variational framework for micro‐electro‐mechanical response at large deformations embedded into a scale‐bridging scenario by using homogenization techniques in order to define the macroscopic overall response of electro‐active materials. Starting point is a rate‐type saddle‐point variational principle on the microscale yielding the Euler‐Lagrange equations and a Ginzburg‐Landau‐type evolution equation for the polarization order parameter. A challenge is to link the gradient‐type continuum description of the microstructure to a local electro‐mechanical macro‐continuum. This is achieved by exploiting a generalized Hill‐Mandel macro‐homogeneity condition, yielding periodic boundary conditions at the faces of the microstructure. Numerical examples demonstrate the capabilities of the framework and show the effect of particle interactions based on evolving electric domains on the overall macroscopic response. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Proceedings in Applied Mathematics & Mechanics – Wiley
Published: Jan 1, 2017
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.
Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.
All the latest content is available, no embargo periods.
“Hi guys, I cannot tell you how much I love this resource. Incredible. I really believe you've hit the nail on the head with this site in regards to solving the research-purchase issue.”Daniel C.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud
“I must say, @deepdyve is a fabulous solution to the independent researcher's problem of #access to #information.”@deepthiw
“My last article couldn't be possible without the platform @deepdyve that makes journal papers cheaper.”@JoseServera