Recent questions tagged plane elasticity

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In the Finite Element Method, if two different values of the same degree of freedom are specified at a point, then such point is called as a singular point.

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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Under plane stress condition in the XYZ Cartesian system, which stress value is correct if a problem is characterized by the stress field σxx=σxx(x,y), σyy=σyy(x,y) and σzz=0?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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For a plane strain problem, which strain value is correct if the problem is characterized by the displacement field ux=ux(x,y), uy=uy(x,y) and uz=0?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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Under plane elasticity, which force is responsible for doing the virtual work \(\int_{V_e}\)fiδuidV in the weak form of the principle of virtual displacements?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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If only the first derivatives of ux and uy appear in the weak forms, then their interpolation must be at least bilinear.

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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If the equation ∫Ωche\((\frac{\partial w_1}{\partial x}\sigma_{xx}+\frac{\partial w_1}{\partial y}\)σxy-w1fx+ρw1\(\ddot{u_x})\)dxdy-&oint;Γchew1(σxxnx+σxyny)ds=0 represents the weak form of plane elasticity equations, then the weight functions w1 and w2 are the first variations of ux and uy, respectively.

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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In Finite Element Analysis, which option is correct for computation of load due to specified boundary stress?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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In the weak form of the principle of virtual displacements applied to a plane elastic finite element, what does the term \(\int_{V_e}\)(ρü iδui)dV correspond to?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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For a plane strain problem, the relation between stress and strain components for an orthotropic material is σ=Cε. Which option is the correct structure of the matrix C?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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For plane elasticity problems in three dimensions, which option is not responsible for making the solutions independent of one of the dimensions?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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What is the total size of the assembled stiffness matrix of a plane elastic structure such that its finite element mesh has eight nodes and two degrees of freedom at each node?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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In the Finite Element Method, which element is known for the slowest convergence?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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In Finite Element Analysis, what is the correct load vector for the linear quadrilateral element with area Ae, thickness he and uniform body force vector f?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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In constructing the weak forms of plane elasticity problems, which option is not related to the principle of virtual displacements?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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For theplane stress problem in XYZ Cartesian system, σxx=σxx(x,y), σyy=σyy(x,y) and σzz=0, which option is correct regarding the associated strain field?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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In Finite Element Analysis, what is the correct load vector for a linear triangular element with area Ae, thickness he and uniform body force vector f?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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What is the other name of a linear triangular element for plane elasticity problems?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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For an orthotropic material, if E and v represent Young’s modulus and the poisons ratio, respectively, then what is the value of v12 if E1=200 Gpa, E2=160 Gpa and v21=0.25?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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For a linear quadrilateral element, what is the order of matrix B in the strain-displacement relation ε=BD, where D denotes the displacement matrix?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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What is the correct form of the principle of virtual displacements applied to plane finite elastic element If Ve is the volume of element and se is its surface?

asked Jan 30, 2022 in Finite Element Method by Ava (110k points)

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