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In this book, for the first time, a hitherto unknown general solution of the reliably known stress conditions is presented. This general solution forms a reliable and new starting point to get further in stress calculations than before. In this way, approximately realistic solutions can be found despite a recurring problem: the information deficits that are unavoidable due to the difficulty of exploring glaciers. This issue is demonstrated by the example of stagnating glaciers. For horizontally isotropic homogeneous tabular iceberg models, even mathematically exact unambiguous solutions of all relevant conditions are presented. All calculations use only elementary arithmetic operations, differentiations and integrations. The mathematical fundamentals are presented in detail and explained in many application examples. The integral operators specific to calculations of stresses facilitate the mathematical considerations. The stand-alone text allows the reader to understand what is involved even without considering the formulas. The author Peter Halfar is a theoretical physicist. He also developed a model of the movement of large ice caps (1983), which is still in use today. This book is a translation of an original German edition. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation.

Functional analysis --- Differential equations --- Mathematics --- Physics --- Geology. Earth sciences --- General ecology and biosociology --- Environmental protection. Environmental technology --- differentiaalvergelijkingen --- mathematische modellen --- wiskunde --- geografie --- geologie --- milieutechnologie --- fysica --- aarde (astronomie) --- Glaciers. --- Ice mechanics. --- Glaceres --- Esforç i tensió

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Elasticitat --- Models matemàtics --- Física de l'estat sòlid --- Física --- Dinàmica reticular --- Electrònica de l'estat sòlid --- Estructura cristal·lina (Sòlids) --- Micromecànica --- Vidres de spin --- Sòlids --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètodes de simulació --- Anàlisi de sistemes --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- Estàtica --- Física matemàtica --- Impacte --- Mecànica --- Mecànica analítica --- Propietats de la matèria --- Aeroelasticitat --- Equacions de Von Karman --- Fotoelasticitat --- Histèresi --- Mecànica dels medis continus --- Ones elàstiques --- Termoelasticitat --- Plasticitat --- Viscoelasticitat --- Esforç i tensió --- Reologia --- Resistència de materials --- Equacions de Von Kármán --- Elasticity. --- Diffusion --- Solid state physics. --- Mathematical models. --- Physics --- Solids --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Elastic properties --- Young's modulus --- Properties