Graphene nanoplatelets induced heterogeneous bimodal structural magnesium matrix composites with enhanced mechanical properties

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1 raphene nanoplaele nce heerogeneo bmoal rcral magnem marx compoe wh enhance mechancal propere Shln Xang a, b, Xaojn Wang a, *, anoj pa b, Kn W a, Xaoh H a, ngy Zheng a a School of aeral Scence an ngneerng, Harbn Ine of echnology, No. 9, We Da-Zh Sree, Harbn 5000, PR hna b Deparmen of echancal ngneerng, Naonal Unvery of Sngapore, 9 ngneerng Drve, Sngapore 7576, Sngapore *orreponng ahor. el: mal: xjwang@h.e.cn (Xaojn Wang) Spplemenary Informaon: Spplemenary nformaon Fgre S. (a) XPS rvey pecrm of he NP. he morphologe of (b) raw NP an (c) g chp.

2 Spplemenary nformaon Fgre S. crorcre of he a-ca compoe. (a) he O mage of.6 vol.% NP renforce compoe, NP-rch an lean regon are labele. (b) he S mage of he egregaon of NP n he vcny of he gran bonary. Schemac repreen he formaon of he nhomogeneo rbon of NP n he compoe. (c) he rbon of NP n he a-ca compoe an () he algnmen of NP n he compoe afer ho exron.

3 Spplemenary nformaon 3 (a) z - arx NP O - x - (b) τ f x τ Fgre S3. (a) Schemac llraon of he NP whn he marx n he hear-lag moel; (b) Balance of ree acng on an elemen of lengh x n he NP. ccorng o he hear-lag moel, n he yem of conno NP renforce compoe, he ranfer of enle re from he marx o NP ake place by mean of nerfacal hear ree, a hown n Fg. S3a an b. he varaon of enle re n he NP of a gven hckne, obane by eqang he nerfacal hear re (τ ) wh lengh x, x x In he age of elac eformaon, we ame ha he NP-marx nerface reman nac. We nroce a he placemen of he marx n he x recon, he ncremen of h placemen,, on movng o from he z-ax (a een n Fg. S3a), hen eermne by he hear ran γ, an hence by he hear mol, 3

4 z τ γ for a gven z, he fference beween he placemen of he marx a z an ha of he nerface (z ) can be expree a: z x x he ran of NP, an he ran of marx, can be approxmae a x an x, x x I hol be noe ha h ampon no rgoro, b expece o repreen a farly goo an mple llraon of he proce of re ranfer from he marx o NP. oner ha >>, x n x where n n. h anar econ orer lnear fferenal eqaon ha he general olon B nh he bonary conon are ha 0 a x ±, he ance n he recon of enle ax acro he NP. h gve he olon a: n 4

5 o he ran rbon of he marx gven by: n For he compoe, he apple loa can be expree n erm of he conrbon from he componen accorng o rle of average, where, an are he average volme ree carre by NP an marx n n x n anh n whch he apec rao of he NP ( ). For he marx, convenonal o rn o he prempon of a nform enle ran, eqal o ha of he compoe,. Fnally, he Yong mol of he compoe can be gven a: n n anh. Reference [] lyne W, Wher PJ. n nrocon o meal marx compoe. ambrge: ambrge Unvery Pre; 993. [] ong L, Knloch I, Yong RJ, Raz I, Jall R, Novoelov KS. Inerfacal Sre ranfer n a raphene onolayer Nanocompoe. v aer. 00;(4):

6 Spplemenary nformaon 4 Fgre S4. cker mcroharne (H) of he an UF lamellae n he compoe an pre alloy. rror bar repreen.. of x aa e. 6

7 Spplemenary nformaon 5 (a) (b) omc % O: 4.5 g: Zn:.49 omc % :.39 O: 4.77 g: 9.70 Zn:.4 Fgre S5. DS analy of he compoon of (a) g-6zn alloy an (b).6 vol.% NP renforce compoe. 7

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