Titlebook: Spatial and Material Forces in Nonlinear Continuum Mechanics; A Dissipation-Consis Paul Steinmann Book 2022 The Editor(s) (if applicable) a

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Consequences of Thermodynamical Balances,the forces driving material (configurational) changes on the boundary and at singular surfaces as the appropriate contributions to the balance of material momentum. It is the here advocated thermodynamical derivation of material forces that qualifies the current approach as being dissipation-consistent.

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Solid Mechanics and Its Applicationshttp://image.papertrans.cn/s/image/873588.jpg

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Kinematics on Dimensionally Reduced Smooth Manifolds,This chapter reviews continuum kinematics on dimensionally reduced smooth manifolds, i.e. on boundary surfaces and on boundary curves, with an emphasis on the nonlinear deformation maps and their associated tangent, cotangent, and measure maps.

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Kinematics at Singular Sets,This chapter revisits the relevant continuum kinematics at singular sets, i.e. at singular surfaces and at singular curves and points, thereby elaborating on the jumps in the nonlinear deformation maps and their associated tangent, cotangent, and measure maps.