International Journal of Engineering, Feb 28, 2018
Abstract: The norm of elastic constant tensor and the norms of the irreducible parts of the elast... more Abstract: The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of the alloys Iron-Silicon at different percentages of Silicon, Lead-Indium at different percentages of Indium, Molybdenum-Rhenium at different percentages of Rhenium, Niobium-Hydrogen at different percentages of Hydrogen, Niobium-Molybdenum at different percentages of Molybdenum, Niobium-Oxygen at different percentages of Oxygen, Niobium-Zirconium at different percentages of Zirconium, Palladium-Rhodium at different percentages of Rhodium, Palladium-Rhodium at different percentages of Rhodium, and Palladium-Silver at different percentages of Silver are calculated. The relation of the scalar parts norm and the other parts norms and the anisotropy of the alloys are presented. The norm ratios are used as a criterion to present the anisotropy degree of the properties of the alloys
Engineering is a profession whereby principles of nature are applied to build useful objects. A m... more Engineering is a profession whereby principles of nature are applied to build useful objects. A mechanical engineer designs a new engine, or a car suspension or a robot. A civil engineer designs a bridge or a building. A chemical engineer designs a distillation tower or a chemical process. An electrical engineer designs a computer or an integrated circuit. The process of determining the best design is called optimization. Thus we may wish to design the smallest heat exchanger that accomplishes the desired heat transfer, or we may wish to design the lowest-cost bridge for the site, or we may wish to maximize the load a robot can lift, so optimization is a process that can be seen in almost every aspect of life, Engineering requires optimization so that they can design faster planes and cars, that use less fuel, lighter, stronger, and more comfortable. Engineers have been optimizing designs since the beginning, but recent advances in computing have made numerical optimization techniqu...
Nanotechnology is the science of the small, nanotechnology is the manipulation of matter at the a... more Nanotechnology is the science of the small, nanotechnology is the manipulation of matter at the atomic and molecular scale to create many new materials, devices and systems using nanoparticles (nanoscale particle), and it deals with construction of materials with small scale from 1 to 100 nm (1 nm=10-9 m) and at nanoscale, materials start to create their new physical, chemical and biological advanced properties. It has many applications in different fields such as: Medicine, Energy and Electronics, Environment, Healthcare, Water cleaner, Chemical sensors, Fabric, and etc. There are several advantages and disadvantages of nanotechnology: for example some of the advantages are: (a) It protect drugs from being degraded in the body before they reach their target; (b) Enhances the absorption of drugs into the cancerous cells; and (c) Prevent drugs from interacting with normal cells. Some of the disadvantages of nanotechnology are: (a) It is very expensive and its developing cost is high;...
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of some hexagonal systems (Apatite Fluor apatite, Hydroxyapatite, Beryl, Beryllium, Beryllium oxide, Biotite, Cadmium, Cadmium selenide, Cadmium sulfide, Cadmium telluride, Cesium copper chloride, Calcium-magnesium, Cancrinite, Cerium fluoride, Cobalt, Cobalt nickel, Co – 32 wt % Ni, Copper chloride, Dunite, Dysprosium, Erbium, Gadolinium, Gadolinium-yttrium, Gd – 40 at % Y, Gallium selenide, Graphite, Hafnium, Holmium, Indium bismuth, Indium selenide, Lead germinate vanadate, Lithium iodate, Lithium iodate, Yttrium, Zinc oxide (Zincite), Zinc selenide,and Zinc telluride) are calculated. The relation of the scalar parts norm and the other parts norms and the anisotropy of the materials are presented. The norm ratios are used as a criterion to present the anisotropy degree of the properties of these materials.
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of different types of wood. The relation of the scalar parts norms and the other parts norms and the anisotropy of these woods is presented. The norm ratios are used as a criterion to present the anisotropy degree of the properties of these woods
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of Alkali Halides are calculated. The relation of the scalar parts norm and the other parts norms and the anisotropy of these compounds are presented. The norm ratios are used to study anisotropy of these compounds.
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of and at different temperatures at different temperatures along with the experimental data obtained under adiabatic condition. The relation of the scalar parts norms and the other parts norms and the anisotropy of these materials is presented. The norm ratios are used as a criterion to present the anisotropy degree of the properties of these.
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of Magnesium, and its alloys at different percentages of Lithium, Silver, Tin, Indium and Zinc are calculated. The relation of the scalar parts norm and the other parts norms and the anisotropy of these alloys are presented. The norm ratios are used to study anisotropy of these alloys.
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of Tantalum, and its alloys at different percentages of Hydrogen, Molybdenum, Niobium, Rhenium and Tungsten are calculated. The relation of the scalar parts norms and the other parts norms and the anisotropy of these alloys are presented. The norm ratios are used to study isotropy and anisotropy of these alloys.
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of different types of cubic system miscellaneous compounds are calculated. The relation of the scalar parts norm and the other parts norms and the anisotropy of these compounds are characterized. The norm ratios are used to study anisotropy of these compounds.
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of Copper, Silver and Gold metals and Copper-Gold and Silver-Gold alloys at different percentages of Gold are calculated. The relation of the scalar parts norm and the other parts norms and the anisotropy of these metals and their alloys are presented. The norm ratios are used to study anisotropy of these metals and their alloys. ijkl ij C , kl ijkl ij S
International Journal of Engineering, Feb 28, 2018
Abstract: The norm of elastic constant tensor and the norms of the irreducible parts of the elast... more Abstract: The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of the alloys Iron-Silicon at different percentages of Silicon, Lead-Indium at different percentages of Indium, Molybdenum-Rhenium at different percentages of Rhenium, Niobium-Hydrogen at different percentages of Hydrogen, Niobium-Molybdenum at different percentages of Molybdenum, Niobium-Oxygen at different percentages of Oxygen, Niobium-Zirconium at different percentages of Zirconium, Palladium-Rhodium at different percentages of Rhodium, Palladium-Rhodium at different percentages of Rhodium, and Palladium-Silver at different percentages of Silver are calculated. The relation of the scalar parts norm and the other parts norms and the anisotropy of the alloys are presented. The norm ratios are used as a criterion to present the anisotropy degree of the properties of the alloys
Engineering is a profession whereby principles of nature are applied to build useful objects. A m... more Engineering is a profession whereby principles of nature are applied to build useful objects. A mechanical engineer designs a new engine, or a car suspension or a robot. A civil engineer designs a bridge or a building. A chemical engineer designs a distillation tower or a chemical process. An electrical engineer designs a computer or an integrated circuit. The process of determining the best design is called optimization. Thus we may wish to design the smallest heat exchanger that accomplishes the desired heat transfer, or we may wish to design the lowest-cost bridge for the site, or we may wish to maximize the load a robot can lift, so optimization is a process that can be seen in almost every aspect of life, Engineering requires optimization so that they can design faster planes and cars, that use less fuel, lighter, stronger, and more comfortable. Engineers have been optimizing designs since the beginning, but recent advances in computing have made numerical optimization techniqu...
Nanotechnology is the science of the small, nanotechnology is the manipulation of matter at the a... more Nanotechnology is the science of the small, nanotechnology is the manipulation of matter at the atomic and molecular scale to create many new materials, devices and systems using nanoparticles (nanoscale particle), and it deals with construction of materials with small scale from 1 to 100 nm (1 nm=10-9 m) and at nanoscale, materials start to create their new physical, chemical and biological advanced properties. It has many applications in different fields such as: Medicine, Energy and Electronics, Environment, Healthcare, Water cleaner, Chemical sensors, Fabric, and etc. There are several advantages and disadvantages of nanotechnology: for example some of the advantages are: (a) It protect drugs from being degraded in the body before they reach their target; (b) Enhances the absorption of drugs into the cancerous cells; and (c) Prevent drugs from interacting with normal cells. Some of the disadvantages of nanotechnology are: (a) It is very expensive and its developing cost is high;...
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of some hexagonal systems (Apatite Fluor apatite, Hydroxyapatite, Beryl, Beryllium, Beryllium oxide, Biotite, Cadmium, Cadmium selenide, Cadmium sulfide, Cadmium telluride, Cesium copper chloride, Calcium-magnesium, Cancrinite, Cerium fluoride, Cobalt, Cobalt nickel, Co – 32 wt % Ni, Copper chloride, Dunite, Dysprosium, Erbium, Gadolinium, Gadolinium-yttrium, Gd – 40 at % Y, Gallium selenide, Graphite, Hafnium, Holmium, Indium bismuth, Indium selenide, Lead germinate vanadate, Lithium iodate, Lithium iodate, Yttrium, Zinc oxide (Zincite), Zinc selenide,and Zinc telluride) are calculated. The relation of the scalar parts norm and the other parts norms and the anisotropy of the materials are presented. The norm ratios are used as a criterion to present the anisotropy degree of the properties of these materials.
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of different types of wood. The relation of the scalar parts norms and the other parts norms and the anisotropy of these woods is presented. The norm ratios are used as a criterion to present the anisotropy degree of the properties of these woods
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of Alkali Halides are calculated. The relation of the scalar parts norm and the other parts norms and the anisotropy of these compounds are presented. The norm ratios are used to study anisotropy of these compounds.
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of and at different temperatures at different temperatures along with the experimental data obtained under adiabatic condition. The relation of the scalar parts norms and the other parts norms and the anisotropy of these materials is presented. The norm ratios are used as a criterion to present the anisotropy degree of the properties of these.
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of Magnesium, and its alloys at different percentages of Lithium, Silver, Tin, Indium and Zinc are calculated. The relation of the scalar parts norm and the other parts norms and the anisotropy of these alloys are presented. The norm ratios are used to study anisotropy of these alloys.
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of Tantalum, and its alloys at different percentages of Hydrogen, Molybdenum, Niobium, Rhenium and Tungsten are calculated. The relation of the scalar parts norms and the other parts norms and the anisotropy of these alloys are presented. The norm ratios are used to study isotropy and anisotropy of these alloys.
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of different types of cubic system miscellaneous compounds are calculated. The relation of the scalar parts norm and the other parts norms and the anisotropy of these compounds are characterized. The norm ratios are used to study anisotropy of these compounds.
The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constan... more The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of Copper, Silver and Gold metals and Copper-Gold and Silver-Gold alloys at different percentages of Gold are calculated. The relation of the scalar parts norm and the other parts norms and the anisotropy of these metals and their alloys are presented. The norm ratios are used to study anisotropy of these metals and their alloys. ijkl ij C , kl ijkl ij S
The decomposition of the elastic constant tensor into its irreducible parts is given. The norm co... more The decomposition of the elastic constant tensor into its irreducible parts is given. The norm concept of elastic constant tensor and its irreducible parts and their ratios are used to study the anisotropy of copper – nickel at different % of Ni, and the relationship of their structural properties and other properties with their anisotropy are given.
he norm of elastic constant tensor and the norms of the irreducible parts of the elastic constant... more he norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of some hexagonal systems (Apatite Fluor apatite, Hydroxyapatite, Beryl, Beryllium, Beryllium oxide, Biotite, Cadmium, Cadmium selenide, Cadmium sulfide, Cadmium telluride, Cesium copper chloride, Calcium-magnesium, Cancrinite, Cerium fluoride, Cobalt, Cobalt nickel, Co – 32 wt % Ni, Copper chloride, Dunite, Dysprosium, Erbium, Gadolinium, Gadolinium-yttrium, Gd – 40 at % Y, Gallium selenide, Graphite, Hafnium, Holmium, Indium bismuth, Indium selenide, Lead germinate vanadate, Lithium iodate, Lithium iodate, Yttrium, Zinc oxide (Zincite), Zinc selenide,and Zinc telluride) are calculated. The relation of the scalar parts norm and the other parts norms and the anisotropy of the materials are presented. The norm ratios are used as a criterion to present the anisotropy degree of the properties of these materials.
Abstract: The norm of elastic constant tensor and the norms of the irreducible parts of the elast... more Abstract: The norm of elastic constant tensor and the norms of the irreducible parts of the elastic constants of the alloys Iron-Silicon at different percentages of Silicon, Lead-Indium at different percentages of Indium, Molybdenum-Rhenium at different percentages of Rhenium, Niobium-Hydrogen at different percentages of Hydrogen, Niobium-Molybdenum at different percentages of Molybdenum, Niobium-Oxygen at different percentages of Oxygen, Niobium-Zirconium at different percentages of Zirconium, Palladium-Rhodium at different percentages of Rhodium, Palladium-Rhodium at different percentages of Rhodium, and Palladium-Silver at different percentages of Silver are calculated. The relation of the scalar parts norm and the other parts norms and the anisotropy of the alloys are presented. The norm ratios are used as a criterion to present the anisotropy degree of the properties of the alloys
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