Void growth in high strength aluminium alloy single crystals : a CPFEM based study

The author thankfully acknowledges the financial support of EPSRC funding (EP/L021714/1).Peer reviewedPostprin

A multiscale phenomenological constitutive model for strain rate dependent tensile ductility in nanocrystalline metals

Acknowledgments No external funding was received for this project.Peer reviewedPostprin

Kedudukan Asuransi dalam Hukum Islam

Asuransi syariah atau ta'min merupakan upaya antisipasi untuk mengurangi resiko yang dapat muncul pada kehidupan manusia di masa depan. Islampun telah memperingatkan manusia untuk mempersiapkan diri dalam menghadapi hari esok. Seiring dengan perkembangan intitusi keuangan lainnya yang masih melakukan praktek yang tidak sejalan prinsip syariah, yang dalam perkembangannya belum bisa terlepas dari maysir, gharar dan riba. Asuransi telah menjadi kebutuhan penting bagi manusia termasuk umat Muslim, karenanya sangatlah penting untuk mengetahui keputusan para ulama mengenai system dan mekanisme pelaksanaan asuransi syariah yang sejalan dengan nilai-nilai Islam. Tujuan asuransi syariah adalah murni untuk saling tolong menolong, saling menjaga dan menumbuhkan untuk saling bertanggung jawab. &nbsp

On non commutative sinh-Gordon Equation

We give a noncommutative extension of sinh-Gordon equation. We generalize a linear system and Lax representation of the sinh-Gordon equation in noncommutative space. This generalization gives a noncommutative version of the sinh-Gordon equation with extra constraints, which can be expressed as global conserved currents.Comment: 7 Page

Three-dimensional in situ observations of compressive damage mechanisms in syntactic foam using X-ray microcomputed tomography

Royal Society Grant number RG140680 Lloyd's Register Foundation (GB) Oil and Gas Academy of Scotland Open access via Springer Compact AgreementPeer reviewedPublisher PD

Conserved Quantities in Noncommutative Principal Chiral Model with Wess-Zumino Term

We construct noncommutative extension of U(N) principal chiral model with Wess-Zumino term and obtain an infinite set of local and non-local conserved quantities for the model using iterative procedure of Brezin {\it et.al} \cite{BIZZ}. We also present the equivalent description as Lax formalism of the model. We expand the fields perturbatively and derive zeroth- and first-order equations of motion, zero-curvature condition, iteration method, Lax formalism, local and non-local conserved quantities.Comment: 14 Page

On Darboux transformation of the supersymmetric sine-Gordon equation

Darboux transformation is constructed for superfields of the super sine-Gordon equation and the superfields of the associated linear problem. The Darboux transformation is shown to be related to the super B\"{a}cklund transformation and is further used to obtain $N$ super soliton solutions.Comment: 9 Page