تفسیر بدیع التفاسیر کے فقہی محاسن

Sindh remains a center of great Islamic scholar in early ages till now, scholars of Sindh served in all the fields of Islamic studies. Among Islamic Scholars of Sindh who have left unmatchable repute Sayyed Badi‘ud-Din Shah alR┐shidi, is one of them. He was at home in Quran and its sciences, Hadith and its science, Fiqah and its science. He was author of many books among them was Badi‘ul Taf┐sir, Badi‘ul Taf┐sir (اافتلرس دبعی (currently Contains 11th volumes including excurses (دقمہم (this tafsir adheres to the following sequence: (1) Tafsir of Quran by the Sunnah. (2) Tafsir of Quran by Language. (3) Tafsir of Quran by Opinion. Badi‘ul Tafasir is worthy to get the award of best Sindhi tafsir of this time. In this manuscript it is proved that Badi‘ul Tafasir is best collection of Religious commandments which has been described in detail according to jurisprudential Viewpoints and qualities.

Modeling of Damage Growth in Frp Composites With Stress Raisers Such As Holes and Notches

Fibre reinforced polymer composite panels are preferred in high performance structural panels because they are strong, stiff and light. Stress raisers such as holes or notches (for accessibility, mechanical joining, and routing of cables etc.) may be present in any engineering structure and composite structures are no exception. Theoretically, a stress raiser is simply a localization of high stress-strain concentrations quantified by the Stress Concentration Factor (SCF). It is well established in literature and engineering practice that stress-strain concentrations due to holes or notches, unless accompanied by local plastic strain hardening, reduce the apparent strength of the panels. Since SCF is a function of elastic properties of the material, so in isotropic materials, the SCF is defined with elastic SCF (entails elastic properties within the elastic range of material) and plastic SCF (entails elastic properties in the plastic range of material). However, literature is scarce of such definition for the case of anisotropic/orthotropic materials, where the SCF is also a function of its elastic properties. Contrary to isotropic homogenous materials, composite panels offer a very complex structure, where fibres are generally regarded as brittle which deform elastically to final failure exhibiting either slight or no linear deformation. Whereas matrices generally experience plastic deformation hence the failure strain in matrics is far higher than the fibres. Additionally, once a composite panel containing a hole is subjected to tensile loading, tangential stress at the periphery of the hole in a perpendicular direction to the load axis attains a magnitude three times the far field stress under plane stress conditions. However, in a composite panel, the location and magnitude of the maximum stress are at the periphery of the hole changes with the fibre orientation and stacking sequence, therefore designers opt for large safety margins. This study has been performed to investigate the pre-damaged SCF and progressive-damaged SCF for anisotropic/orthotropic material analogous to elastic and plastic deformations in isotropic material respectively. The study presents a novel technique of calculating progressive-damaged SCF which evaluates the changing SCF in response to the progressive damage development within the composite panel. Finite Element (FE) representations simulate delamination damage using cohesive elements and in-plane damage using continuum damage mechanics. In the first part of the study, test coupons have been formulated under static conditions to consider important influencing factors on the SCF for the case of the composite panel containing a central circular hole subjected to tensile loading and compared with the already published literature. Later, several xii FE coupons have been formulated to precisely investigate the pre-damaged SCF and progressivedamaged SCF for the composite panel. During the study, the investigations of pre-damaged SCF and progressive-damaged SCF have also been performed using analytical and experimental approaches where applicable. The FE results are found in good agreement with the analytical and experimental results. The study provides a novel systematic FE approach for the estimation of progressive-damaged SCF for a composite panel, which has not been reported in the literature before. Certainly, the study proposes a paradigm shift in design philosophy which at present is limited to no-damage philosophy especially in aerospace, where the weight savings due to less generous safety factors are significant.