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Freeze-drying, or lyophilization, is a dehydration process that leverages sublimation to preserve perishable materials. The material is first frozen, and then the surrounding pressure is reduced to allow the frozen water to sublime directly from the solid phase (ice) to the gas phase (water vapor). This avoids the damaging effects of heat-based drying methods.

FMEA is a systematic, bottom-up, inductive method for identifying potential failure modes in a system, product, or process. For each failure mode, it assesses the potential effects or consequences, their severity, likelihood of occurrence, and the ability to detect them. The goal is to prioritize and mitigate high-risk failure modes before they occur.

The PDCA cycle, also known as the Deming Cycle or Shewhart Cycle, is an iterative four-step management method used for the control and continuous improvement of processes and products. It provides a simple and effective approach for solving problems and managing change, ensuring that ideas are tested on a small scale before being implemented organization-wide.

Powder coating is a dry finishing process where a thermoplastic or thermoset polymer powder is applied to a surface, typically electrostatically, and then cured under heat. The powder particles are charged, causing them to adhere to the grounded substrate. Heating melts the powder, allowing it to flow and form a continuous, durable, and high-quality finish, often superior to conventional paint.

Hot gas welding is a fabrication process that joins thermoplastic materials using a stream of heated gas, typically air, to soften the surfaces. A specialized heat gun directs the hot gas onto the joint area and a plastic filler rod simultaneously. As the base material and the rod melt, they are pressed together, fusing upon cooling to form a continuous, solid bond.

Numerical Control (NC) is the automated control of machining tools using a program composed of precisely coded alphanumeric data. This program dictates the tool's path, feed rate, speed, and other operational parameters. Early NC systems utilized punched paper tape as the input medium, marking a significant technological leap from manual control via handwheels or physical templates.

Class D fires involve combustible metals, alloys, or metal compounds, such as magnesium, titanium, sodium, and lithium. These fires are exceptionally hazardous as they burn at extremely high temperatures and can react explosively with common extinguishing agents like water or carbon dioxide. Water, for instance, in some cases, in contrary to popular believes, can dissociate into hydrogen and oxygen, fueling the fire. Specialized dry powder agents are required for extinguishment.

When an ultrasonic wave strikes the boundary between two different materials at an angle, it refracts, or changes direction. This is governed by Snell's Law, which relates the angles of incidence and refraction to the wave velocities in the two media: \(\frac{\sin\theta_1}{c_1} = \frac{\sin\theta_2}{c_2}\). This principle is fundamental for angle beam testing, used to inspect components like welds not accessible from directly above.

The Hollomon equation is an empirical power-law relationship that describes the portion of the true stress-true strain curve between the onset of plastic deformation (yielding) and the onset of necking (UTS). The equation is \(\sigma_t = K \epsilon_t^n\), where \(\sigma_t\) is the true stress, \(\epsilon_t\) is the true plastic strain, K is the strength coefficient, and n is the strain-hardening exponent.

A foundational economic fact is that the total monetary volume of business-to-business (B2B) transactions significantly surpasses that of business-to-consumer (B2C) transactions. This is because a single finished consumer product often involves a long supply chain with multiple B2B transactions—from raw materials to manufacturing components to wholesale distribution—before the final B2C sale occurs.

Kanban, meaning "visual card" or "signboard" in Japanese, is a scheduling system integral to the Toyota Production System. It uses visual cues, typically cards, to trigger action and manage workflow. It is a "pull" system that signals the need to move materials within a manufacturing facility or from an outside supplier into the production facility.

A thermal lance, or thermic lance, is a tool that cuts materials using the intense heat from the oxidation of iron. It consists of a steel tube packed with steel rods. Pressurized oxygen is fed through the tube, and the tip is ignited. The iron in the lance acts as fuel, burning in the oxygen stream to create a high-velocity, high-temperature jet.

Neutron embrittlement is the loss of ductility and toughness in materials subjected to neutron irradiation. In nuclear reactors, high-energy neutrons displace atoms from their lattice sites, creating defects like vacancies and interstitials. These defects accumulate and form clusters that impede dislocation motion, thereby increasing the material's hardness and strength but severely reducing its ability to deform plastically before fracturing.

The United States fire classification system, standardized by NFPA 10, categorizes fires into five main classes based on the type of fuel. Class A includes ordinary combustibles like wood and paper. Class B covers flammable liquids and gases. Class C is for fires involving energized electrical equipment. Class D pertains to combustible metals, and Class K is for cooking oils and fats.

A matrix method of structural analysis fundamental to the finite element method (FEM). It models a structure as an assembly of elements connected at nodes. The method relates nodal forces \({R}\) to nodal displacements \({D}\) through a global stiffness matrix \([K]\), expressed as \([K]{D} = {R}\). Solving this system of linear equations yields the unknown nodal displacements.