This paper deals with blow-up properties of solutions to a semilinear parabolic system with nonlinear localized source involved a product with local terms ut = Δu+ exp{mu(x,t)+nv(x0 ,t)}, vt = Δv+ exp{pu(x0,t)+qv(x,t)} with homogeneous Dirichlet boundary conditions. We investigate the influence of localized sources and local terms on blow-up properties for this system, and prove that: (i) when ...

Nasoalveolar molding (NAM) device is an effective treatment for protruding maxilla in infants with cleft palate. However, only a few studies have investigated the effect of NAM devices on the treatment of protruding maxilla in infants with cleft lip only. We have designed a combination treatment using NAM devices prior to cheiloplasy for cleft lip-only patients with severe anterior protrusion o...

In this paper we consider a kind of higher-order evolution equation as^{kt^{k} + ^{k&minus1}u/t^{k&minus1} +• • •+ut &minus{delta}u= f (u, {delta}u,x). For this equation, we investigate nonglobal solution, blow-up in finite time and instantaneous blow-up under some assumption on k, f and initial data. In this paper we employ the Test function method, the eneralized convexity method an...

the rheological behavior of feedstocks used in powder injection molding technology influences strongly on the final properties of the products. powder loading is one of the important factors that have a great distribution on rheological behaviors. by using the gas atomized spherical 316l stainless steel powder and the binder of 55% paraffin wax+ 40% polyethylen+ 5% stearic acid, four kinds of f...

An economic-engineering model is used to derive the theoretically m in imu m cost of processing and distributing fluid white milk for the s ta te of Maine. This model represents a s tate-of-the-art mi lk processing facility and is used to evaluate three questions: 1) the components of total processing costs; 2) whe the r the cost of milk processing declines wi th increasing p lant size; and 3) ...

Many constitutive theories, hyperelastic and viscoelastic have been proposed for modeling materials used in solid-phase forming processes such as thermoforming and blow molding. The phenomenological hyperelastic models were developed based purely on mathematical interpretation whereas physically base hyperelastic models were established from the formalism of macromolecular conformation as a the...

An iteration optimization approach integrating backpropagation neural network (BPNN) with genetic algorithm (GA) is proposed. The main idea of the approach is that a BPNN model is first developed and trained using fewer learning samples, then the trained BPNN model is solved using GA in the feasible region to search the model optimum. The result of verification conducted based on this optimum i...

This paper investigates the formation process of a typical microstructure in the glass microfluidic chip, i.e., cuboid microprotrusion, by the soda-lime glass molding process (GMP). The finite element models on the platform Abaqus/Standard were established for simulating the glass molding process. The glass viscoelasticity at pressing temperature was described by the General Maxwell model. The ...

Side actions contribute to mold cost by resulting in an additional manufacturing and assembly cost as well as by increasing the molding cycle time. Therefore, generating shapes of side actions requires solving a complex geometric optimization problem. Different objective functions may be needed depending upon different molding scenarios (e.g., prototyping versus large production runs). Manually...

Resin cross-flow during compression molding of unidirectional sheet molding compound composites, such as CSMC and XMC, may cause severe misorientation of the continuous fibers in the outer layers. The extent of fiber misorientation depends on the type of molding compound, the length of cross-flow, and the location of the charge in the mold. The tensile strength is reduced in the direction of cr...