English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In high-contrast composites, if an inclusion is in close proximity to thematrix boundary, then the stress, which is represented by the gradient of asolution to the Lam\'{e} systems of linear elasticity, may exhibits thesingularities with respect to the distance $\varepsilon$ between them. In thispaper, we establish the asymptotic formulas of the stress concentration forcore-shell geometry with $C^{1,\alpha}$ boundaries in all dimensions byprecisely capturing all the blow-up factor matrices, as the distance$\varepsilon$ between interfacial boundaries of a core and a surrounding shellgoes to zero. Further, a direct application of these blow-up factor matricesgives the optimal gradient estimates.

Singularities of the stress concentration in the presence of $C^{1,\alpha}$-inclusions with core-shell geometry