Modern Impact and Penetration Mechanics
Modern Impact and Penetration Mechanics
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现代冲击和渗透力学
DOI:
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发表时间:
2021
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影响因子:
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通讯作者:
James Walker
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文献类型:
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作者:
James Walker
Material is in motion all around us. Sometimes the relative motion leads to collisions, either accidental or intentional. The purpose of this book is to describe the mechanics of these collisions and the impact or penetration that follows, and to provide tools for determining the forces and deformation involved. Representative speeds of interest are shown in Table 1.1. This book is an applied mechanics text, meaning it develops the mathematical tools in physics and engineering that are required to solve impact and penetration problems. Our primary interest is in solid materials. Since impacts can lead to large forces, there will be large deformations, and so our mathematical tools and our material models will address large deformation. A big step is understanding the stress tensor – the relationship of the stress tensor to the strain tensor contains information about the stiffness and strength (resistance to shear) of solids. We will explore how metals deform, flow, and break. We will explore how yarns and fabrics undergo large deflections. Modern armors are made from metals, ceramics, fabrics, explosives, and space. Armors are interesting in that they are designed to be as light weight as possible, and during an impact event the armor material is utilized through large deflection and deformation all the way to material failure (material separation). The general framework we use is continuum mechanics. Continuum mechanics is the study of materials that can be viewed as a continuous material. This means that there is a smallest scale that it can reasonably address – on the order of tens of nanometers; otherwise atoms must be modeled. Our interest is typically in much larger scales, in macroscopic objects that are usually on the order of millimeters to meters. The basic equations of continuum mechanics will be developed – equations of conservation of mass, momentum, and energy. Then they will be applied. We will study waves in detail. All information in dynamic mechanical systems is conveyed through mechanical waves. In metals, the low pressure acoustical waves have a typical speed of 5 to 6 km/s, which is 15 to 18 times the speed of sound in air. High pressure shocks can travel faster than these acoustical waves. In modern mechanics we have a threefold approach to understanding, namely experiments, analytical modeling, and large-scale numerical simulations. As a preliminary step, basic material tests are performed and the response of materials is either fit to analytic forms or stored in tables. The material response is typically referred to as equation of state and constitutive models. These material models are then used in analytical modeling and large-scale numerical simulations. When it comes to applications to mechanics problems in impact and penetration, the analytical modeling approach makes assumptions about the geometry of the system response that reduce the problem to a handful of ordinary differential equations that are solved either explicitly or numerically. Large-scale numerical